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Finding the Third Proportional to 89,143.03 and 185,686.17

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Solution

The third proportional to 89,143.03 and 185,686.17 is: 386,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,143.03 : 185,686.17 = 185,686.17 : x
  2. Step 2: Convert to fraction form
    89,143.03/185,686.17 = 185,686.17/x
  3. Step 3: Cross multiply
    89,143.03x = 185,686.17 × 185,686.17
  4. Step 4: Simplify right side
    89,143.03x = 34,479,354,425.59
  5. Step 5: Solve for x
    x = 34,479,354,425.59/89,143.03
  6. Step 6: Final answer
    x = 386,786.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.