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Finding the Third Proportional to 81,199.13 and 177,138.56

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Solution

The third proportional to 81,199.13 and 177,138.56 is: 386,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,199.13 : 177,138.56 = 177,138.56 : x
  2. Step 2: Convert to fraction form
    81,199.13/177,138.56 = 177,138.56/x
  3. Step 3: Cross multiply
    81,199.13x = 177,138.56 × 177,138.56
  4. Step 4: Simplify right side
    81,199.13x = 31,378,070,324.57
  5. Step 5: Solve for x
    x = 31,378,070,324.57/81,199.13
  6. Step 6: Final answer
    x = 386,433.60

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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.