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Finding the Third Proportional to 231,704,367.75 and 349,711,273.13

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Solution

The third proportional to 231,704,367.75 and 349,711,273.13 is: 527,819,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,367.75 : 349,711,273.13 = 349,711,273.13 : x
  2. Step 2: Convert to fraction form
    231,704,367.75/349,711,273.13 = 349,711,273.13/x
  3. Step 3: Cross multiply
    231,704,367.75x = 349,711,273.13 × 349,711,273.13
  4. Step 4: Simplify right side
    231,704,367.75x = 122,297,974,550,708,352
  5. Step 5: Solve for x
    x = 122,297,974,550,708,352/231,704,367.75
  6. Step 6: Final answer
    x = 527,819,029.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.