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Finding the Third Proportional to 108,986.92 and 231,179.14

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Solution

The third proportional to 108,986.92 and 231,179.14 is: 490,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,986.92 : 231,179.14 = 231,179.14 : x
  2. Step 2: Convert to fraction form
    108,986.92/231,179.14 = 231,179.14/x
  3. Step 3: Cross multiply
    108,986.92x = 231,179.14 × 231,179.14
  4. Step 4: Simplify right side
    108,986.92x = 53,443,795,511.64
  5. Step 5: Solve for x
    x = 53,443,795,511.64/108,986.92
  6. Step 6: Final answer
    x = 490,368.88

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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.