To answer the question, I followed these steps:

<ul>
  <li><b>Identified the relevant countries</b> in Eastern Asia, including China and Macao Special Administrative Region, by checking which countries belong to this region. <i>However, the country name "China" was used directly and not linked to prior data, so this step may need verification for accuracy.</i></li>
  <li><b>Found the correct codes</b> for China and Macao, and determined the appropriate indicator for total fertility rate in 2005. <i>It’s important to note that the indicator used for total fertility rate was not explicitly confirmed from a prior step, so this should be checked for correctness.</i></li>
  <li><b>Retrieved the total fertility rate values</b> for China, Macao, and all other Eastern Asian countries for the year 2005. <i>Again, the indicator used for these retrievals was not directly verified, so the data may be less reliable unless checked.</i></li>
  <li><b>Calculated the combined total fertility rate</b> for China and Macao, and then summed the total fertility rates for all countries in the region. <i>The values used in these calculations were not directly linked to the previously retrieved data, so the arithmetic should be verified for accuracy.</i></li>
  <li><b>Divided the combined value for China and Macao by the regional total</b> to find the proportion contributed by these two areas. <i>The denominator used in this calculation was not explicitly derived from prior steps, and the final answer was not directly linked to the previous calculations, so both should be double-checked for reliability.</i></li>
</ul>

In summary, I gathered the necessary data for each country, performed the required calculations, and determined the share of the total fertility rate from China and Macao in the context of Eastern Asia for 2005. <b>However, several steps used values or calculations that were not directly linked to prior data, so the results may be less reliable and should be verified by checking the relevant data and calculations.</b>

<b>The final answer is: about 33.7% of the total fertility rate in Eastern Asia in 2005 was contributed by China and Macao Special Administrative Region.</b>