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Finding the Third Proportional to 107,752,716 and 164,319,327

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Solution

The third proportional to 107,752,716 and 164,319,327 is: 250,581,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752,716 : 164,319,327 = 164,319,327 : x
  2. Step 2: Convert to fraction form
    107,752,716/164,319,327 = 164,319,327/x
  3. Step 3: Cross multiply
    107,752,716x = 164,319,327 × 164,319,327
  4. Step 4: Simplify right side
    107,752,716x = 27,000,841,225,732,928
  5. Step 5: Solve for x
    x = 27,000,841,225,732,928/107,752,716
  6. Step 6: Final answer
    x = 250,581,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.