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Finding the Third Proportional to 80,891.44 and 176,383.69

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Solution

The third proportional to 80,891.44 and 176,383.69 is: 384,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,891.44 : 176,383.69 = 176,383.69 : x
  2. Step 2: Convert to fraction form
    80,891.44/176,383.69 = 176,383.69/x
  3. Step 3: Cross multiply
    80,891.44x = 176,383.69 × 176,383.69
  4. Step 4: Simplify right side
    80,891.44x = 31,111,205,216.10
  5. Step 5: Solve for x
    x = 31,111,205,216.10/80,891.44
  6. Step 6: Final answer
    x = 384,604.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.