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Finding the Third Proportional to 82,097.44 and 176,859.56

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Solution

The third proportional to 82,097.44 and 176,859.56 is: 381,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097.44 : 176,859.56 = 176,859.56 : x
  2. Step 2: Convert to fraction form
    82,097.44/176,859.56 = 176,859.56/x
  3. Step 3: Cross multiply
    82,097.44x = 176,859.56 × 176,859.56
  4. Step 4: Simplify right side
    82,097.44x = 31,279,304,847.69
  5. Step 5: Solve for x
    x = 31,279,304,847.69/82,097.44
  6. Step 6: Final answer
    x = 381,002.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.