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Finding the Third Proportional to 87,461,784 and 202,479,397.13

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Solution

The third proportional to 87,461,784 and 202,479,397.13 is: 468,752,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,784 : 202,479,397.13 = 202,479,397.13 : x
  2. Step 2: Convert to fraction form
    87,461,784/202,479,397.13 = 202,479,397.13/x
  3. Step 3: Cross multiply
    87,461,784x = 202,479,397.13 × 202,479,397.13
  4. Step 4: Simplify right side
    87,461,784x = 40,997,906,260,103,456
  5. Step 5: Solve for x
    x = 40,997,906,260,103,456/87,461,784
  6. Step 6: Final answer
    x = 468,752,229.66

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.