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Finding the Third Proportional to 125,469,046.50 and 271,782,390

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Solution

The third proportional to 125,469,046.50 and 271,782,390 is: 588,716,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,046.50 : 271,782,390 = 271,782,390 : x
  2. Step 2: Convert to fraction form
    125,469,046.50/271,782,390 = 271,782,390/x
  3. Step 3: Cross multiply
    125,469,046.50x = 271,782,390 × 271,782,390
  4. Step 4: Simplify right side
    125,469,046.50x = 73,865,667,514,112,096
  5. Step 5: Solve for x
    x = 73,865,667,514,112,096/125,469,046.50
  6. Step 6: Final answer
    x = 588,716,257.71

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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.