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Finding the Third Proportional to 135,199,744 and 291,951,680

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Solution

The third proportional to 135,199,744 and 291,951,680 is: 630,443,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199,744 : 291,951,680 = 291,951,680 : x
  2. Step 2: Convert to fraction form
    135,199,744/291,951,680 = 291,951,680/x
  3. Step 3: Cross multiply
    135,199,744x = 291,951,680 × 291,951,680
  4. Step 4: Simplify right side
    135,199,744x = 85,235,783,454,822,400
  5. Step 5: Solve for x
    x = 85,235,783,454,822,400/135,199,744
  6. Step 6: Final answer
    x = 630,443,379.06

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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.