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Finding the Third Proportional to 172,395,249.75 and 267,676,522.31

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Solution

The third proportional to 172,395,249.75 and 267,676,522.31 is: 415,618,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,395,249.75 : 267,676,522.31 = 267,676,522.31 : x
  2. Step 2: Convert to fraction form
    172,395,249.75/267,676,522.31 = 267,676,522.31/x
  3. Step 3: Cross multiply
    172,395,249.75x = 267,676,522.31 × 267,676,522.31
  4. Step 4: Simplify right side
    172,395,249.75x = 71,650,720,597,314,312
  5. Step 5: Solve for x
    x = 71,650,720,597,314,312/172,395,249.75
  6. Step 6: Final answer
    x = 415,618,879.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.