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Finding the Third Proportional to 80,098.31 and 170,549.44

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Solution

The third proportional to 80,098.31 and 170,549.44 is: 363,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,098.31 : 170,549.44 = 170,549.44 : x
  2. Step 2: Convert to fraction form
    80,098.31/170,549.44 = 170,549.44/x
  3. Step 3: Cross multiply
    80,098.31x = 170,549.44 × 170,549.44
  4. Step 4: Simplify right side
    80,098.31x = 29,087,110,631.57
  5. Step 5: Solve for x
    x = 29,087,110,631.57/80,098.31
  6. Step 6: Final answer
    x = 363,142.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.