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Finding the Third Proportional to 107,407,352 and 231,929,080

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Solution

The third proportional to 107,407,352 and 231,929,080 is: 500,813,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,352 : 231,929,080 = 231,929,080 : x
  2. Step 2: Convert to fraction form
    107,407,352/231,929,080 = 231,929,080/x
  3. Step 3: Cross multiply
    107,407,352x = 231,929,080 × 231,929,080
  4. Step 4: Simplify right side
    107,407,352x = 53,791,098,149,646,400
  5. Step 5: Solve for x
    x = 53,791,098,149,646,400/107,407,352
  6. Step 6: Final answer
    x = 500,813,930.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.