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Finding the Third Proportional to 80,098.88 and 170,550.56

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Solution

The third proportional to 80,098.88 and 170,550.56 is: 363,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,098.88 : 170,550.56 = 170,550.56 : x
  2. Step 2: Convert to fraction form
    80,098.88/170,550.56 = 170,550.56/x
  3. Step 3: Cross multiply
    80,098.88x = 170,550.56 × 170,550.56
  4. Step 4: Simplify right side
    80,098.88x = 29,087,494,369.07
  5. Step 5: Solve for x
    x = 29,087,494,369.07/80,098.88
  6. Step 6: Final answer
    x = 363,144.86

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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.