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Finding the Third Proportional to 80,544.38 and 174,922.88

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Solution

The third proportional to 80,544.38 and 174,922.88 is: 379,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,544.38 : 174,922.88 = 174,922.88 : x
  2. Step 2: Convert to fraction form
    80,544.38/174,922.88 = 174,922.88/x
  3. Step 3: Cross multiply
    80,544.38x = 174,922.88 × 174,922.88
  4. Step 4: Simplify right side
    80,544.38x = 30,598,012,198.27
  5. Step 5: Solve for x
    x = 30,598,012,198.27/80,544.38
  6. Step 6: Final answer
    x = 379,890.12

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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.