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Finding the Third Proportional to 200,836,711,304 and 436,975,690,129

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Solution

The third proportional to 200,836,711,304 and 436,975,690,129 is: 950,761,205,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,711,304 : 436,975,690,129 = 436,975,690,129 : x
  2. Step 2: Convert to fraction form
    200,836,711,304/436,975,690,129 = 436,975,690,129/x
  3. Step 3: Cross multiply
    200,836,711,304x = 436,975,690,129 × 436,975,690,129
  4. Step 4: Simplify right side
    200,836,711,304x = 190,947,753,763,715,825,008,640
  5. Step 5: Solve for x
    x = 190,947,753,763,715,825,008,640/200,836,711,304
  6. Step 6: Final answer
    x = 950,761,205,578.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.