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Finding the Third Proportional to 81,790.88 and 176,470.88

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Solution

The third proportional to 81,790.88 and 176,470.88 is: 380,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790.88 : 176,470.88 = 176,470.88 : x
  2. Step 2: Convert to fraction form
    81,790.88/176,470.88 = 176,470.88/x
  3. Step 3: Cross multiply
    81,790.88x = 176,470.88 × 176,470.88
  4. Step 4: Simplify right side
    81,790.88x = 31,141,969,723.27
  5. Step 5: Solve for x
    x = 31,141,969,723.27/81,790.88
  6. Step 6: Final answer
    x = 380,751.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.