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Finding the Third Proportional to 107,962.88 and 232,327.69

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Solution

The third proportional to 107,962.88 and 232,327.69 is: 499,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,962.88 : 232,327.69 = 232,327.69 : x
  2. Step 2: Convert to fraction form
    107,962.88/232,327.69 = 232,327.69/x
  3. Step 3: Cross multiply
    107,962.88x = 232,327.69 × 232,327.69
  4. Step 4: Simplify right side
    107,962.88x = 53,976,154,379.10
  5. Step 5: Solve for x
    x = 53,976,154,379.10/107,962.88
  6. Step 6: Final answer
    x = 499,951.07

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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.