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Finding the Third Proportional to 125,456,732 and 271,760,496

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Solution

The third proportional to 125,456,732 and 271,760,496 is: 588,679,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456,732 : 271,760,496 = 271,760,496 : x
  2. Step 2: Convert to fraction form
    125,456,732/271,760,496 = 271,760,496/x
  3. Step 3: Cross multiply
    125,456,732x = 271,760,496 × 271,760,496
  4. Step 4: Simplify right side
    125,456,732x = 73,853,767,186,166,016
  5. Step 5: Solve for x
    x = 73,853,767,186,166,016/125,456,732
  6. Step 6: Final answer
    x = 588,679,188.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.