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Finding the Third Proportional to 109,179.38 and 231,481.31

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Solution

The third proportional to 109,179.38 and 231,481.31 is: 490,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,179.38 : 231,481.31 = 231,481.31 : x
  2. Step 2: Convert to fraction form
    109,179.38/231,481.31 = 231,481.31/x
  3. Step 3: Cross multiply
    109,179.38x = 231,481.31 × 231,481.31
  4. Step 4: Simplify right side
    109,179.38x = 53,583,598,036.72
  5. Step 5: Solve for x
    x = 53,583,598,036.72/109,179.38
  6. Step 6: Final answer
    x = 490,784.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.