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Finding the Third Proportional to 87,461,766 and 202,479,351

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Solution

The third proportional to 87,461,766 and 202,479,351 is: 468,752,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,766 : 202,479,351 = 202,479,351 : x
  2. Step 2: Convert to fraction form
    87,461,766/202,479,351 = 202,479,351/x
  3. Step 3: Cross multiply
    87,461,766x = 202,479,351 × 202,479,351
  4. Step 4: Simplify right side
    87,461,766x = 40,997,887,581,381,200
  5. Step 5: Solve for x
    x = 40,997,887,581,381,200/87,461,766
  6. Step 6: Final answer
    x = 468,752,112.57

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Why These Related Problems?

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