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Finding the Third Proportional to 123,829,933.72 and 267,049,765.65

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Solution

The third proportional to 123,829,933.72 and 267,049,765.65 is: 575,915,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,829,933.72 : 267,049,765.65 = 267,049,765.65 : x
  2. Step 2: Convert to fraction form
    123,829,933.72/267,049,765.65 = 267,049,765.65/x
  3. Step 3: Cross multiply
    123,829,933.72x = 267,049,765.65 × 267,049,765.65
  4. Step 4: Simplify right side
    123,829,933.72x = 71,315,577,332,625,016
  5. Step 5: Solve for x
    x = 71,315,577,332,625,016/123,829,933.72
  6. Step 6: Final answer
    x = 575,915,493.07

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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.