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Finding the Third Proportional to 129,755,920 and 181,406,424

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Solution

The third proportional to 129,755,920 and 181,406,424 is: 253,616,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,755,920 : 181,406,424 = 181,406,424 : x
  2. Step 2: Convert to fraction form
    129,755,920/181,406,424 = 181,406,424/x
  3. Step 3: Cross multiply
    129,755,920x = 181,406,424 × 181,406,424
  4. Step 4: Simplify right side
    129,755,920x = 32,908,290,668,467,776
  5. Step 5: Solve for x
    x = 32,908,290,668,467,776/129,755,920
  6. Step 6: Final answer
    x = 253,616,872.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.