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Finding the Third Proportional to 123,040,468.13 and 267,205,213.13

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Solution

The third proportional to 123,040,468.13 and 267,205,213.13 is: 580,285,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,468.13 : 267,205,213.13 = 267,205,213.13 : x
  2. Step 2: Convert to fraction form
    123,040,468.13/267,205,213.13 = 267,205,213.13/x
  3. Step 3: Cross multiply
    123,040,468.13x = 267,205,213.13 × 267,205,213.13
  4. Step 4: Simplify right side
    123,040,468.13x = 71,398,625,921,176,672
  5. Step 5: Solve for x
    x = 71,398,625,921,176,672/123,040,468.13
  6. Step 6: Final answer
    x = 580,285,714.20

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