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Finding the Third Proportional to 123,145,866 and 267,725,952

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Solution

The third proportional to 123,145,866 and 267,725,952 is: 582,051,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145,866 : 267,725,952 = 267,725,952 : x
  2. Step 2: Convert to fraction form
    123,145,866/267,725,952 = 267,725,952/x
  3. Step 3: Cross multiply
    123,145,866x = 267,725,952 × 267,725,952
  4. Step 4: Simplify right side
    123,145,866x = 71,677,185,374,306,304
  5. Step 5: Solve for x
    x = 71,677,185,374,306,304/123,145,866
  6. Step 6: Final answer
    x = 582,051,088.70

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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.