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Finding the Third Proportional to 119,215,132 and 260,747,192

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Solution

The third proportional to 119,215,132 and 260,747,192 is: 570,305,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,215,132 : 260,747,192 = 260,747,192 : x
  2. Step 2: Convert to fraction form
    119,215,132/260,747,192 = 260,747,192/x
  3. Step 3: Cross multiply
    119,215,132x = 260,747,192 × 260,747,192
  4. Step 4: Simplify right side
    119,215,132x = 67,989,098,135,884,864
  5. Step 5: Solve for x
    x = 67,989,098,135,884,864/119,215,132
  6. Step 6: Final answer
    x = 570,305,941.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.