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Finding the Third Proportional to 108,469.13 and 159,377.63

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Solution

The third proportional to 108,469.13 and 159,377.63 is: 234,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469.13 : 159,377.63 = 159,377.63 : x
  2. Step 2: Convert to fraction form
    108,469.13/159,377.63 = 159,377.63/x
  3. Step 3: Cross multiply
    108,469.13x = 159,377.63 × 159,377.63
  4. Step 4: Simplify right side
    108,469.13x = 25,401,227,350.64
  5. Step 5: Solve for x
    x = 25,401,227,350.64/108,469.13
  6. Step 6: Final answer
    x = 234,179.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.