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Finding the Third Proportional to 81,332.44 and 176,240.81

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Solution

The third proportional to 81,332.44 and 176,240.81 is: 381,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,332.44 : 176,240.81 = 176,240.81 : x
  2. Step 2: Convert to fraction form
    81,332.44/176,240.81 = 176,240.81/x
  3. Step 3: Cross multiply
    81,332.44x = 176,240.81 × 176,240.81
  4. Step 4: Simplify right side
    81,332.44x = 31,060,823,990.66
  5. Step 5: Solve for x
    x = 31,060,823,990.66/81,332.44
  6. Step 6: Final answer
    x = 381,899.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.