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Finding the Third Proportional to 80,544.38 and 159,055.52

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Solution

The third proportional to 80,544.38 and 159,055.52 is: 314,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,544.38 : 159,055.52 = 159,055.52 : x
  2. Step 2: Convert to fraction form
    80,544.38/159,055.52 = 159,055.52/x
  3. Step 3: Cross multiply
    80,544.38x = 159,055.52 × 159,055.52
  4. Step 4: Simplify right side
    80,544.38x = 25,298,659,535.98
  5. Step 5: Solve for x
    x = 25,298,659,535.98/80,544.38
  6. Step 6: Final answer
    x = 314,095.92

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.