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Finding the Third Proportional to 135,199,749 and 291,951,690

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Solution

The third proportional to 135,199,749 and 291,951,690 is: 630,443,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199,749 : 291,951,690 = 291,951,690 : x
  2. Step 2: Convert to fraction form
    135,199,749/291,951,690 = 291,951,690/x
  3. Step 3: Cross multiply
    135,199,749x = 291,951,690 × 291,951,690
  4. Step 4: Simplify right side
    135,199,749x = 85,235,789,293,856,096
  5. Step 5: Solve for x
    x = 85,235,789,293,856,096/135,199,749
  6. Step 6: Final answer
    x = 630,443,398.93

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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.