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Finding the Third Proportional to 135,199,751 and 291,951,694

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Solution

The third proportional to 135,199,751 and 291,951,694 is: 630,443,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199,751 : 291,951,694 = 291,951,694 : x
  2. Step 2: Convert to fraction form
    135,199,751/291,951,694 = 291,951,694/x
  3. Step 3: Cross multiply
    135,199,751x = 291,951,694 × 291,951,694
  4. Step 4: Simplify right side
    135,199,751x = 85,235,791,629,469,632
  5. Step 5: Solve for x
    x = 85,235,791,629,469,632/135,199,751
  6. Step 6: Final answer
    x = 630,443,406.88

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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.