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Finding the Third Proportional to 107,926.50 and 231,711.50

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Solution

The third proportional to 107,926.50 and 231,711.50 is: 497,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,926.50 : 231,711.50 = 231,711.50 : x
  2. Step 2: Convert to fraction form
    107,926.50/231,711.50 = 231,711.50/x
  3. Step 3: Cross multiply
    107,926.50x = 231,711.50 × 231,711.50
  4. Step 4: Simplify right side
    107,926.50x = 53,690,219,232.25
  5. Step 5: Solve for x
    x = 53,690,219,232.25/107,926.50
  6. Step 6: Final answer
    x = 497,470.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.