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Finding the Third Proportional to 80,293.50 and 174,889.13

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Solution

The third proportional to 80,293.50 and 174,889.13 is: 380,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,293.50 : 174,889.13 = 174,889.13 : x
  2. Step 2: Convert to fraction form
    80,293.50/174,889.13 = 174,889.13/x
  3. Step 3: Cross multiply
    80,293.50x = 174,889.13 × 174,889.13
  4. Step 4: Simplify right side
    80,293.50x = 30,586,206,043.27
  5. Step 5: Solve for x
    x = 30,586,206,043.27/80,293.50
  6. Step 6: Final answer
    x = 380,930.04

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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.