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Finding the Third Proportional to 80,049.28 and 171,970.08

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Solution

The third proportional to 80,049.28 and 171,970.08 is: 369,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,049.28 : 171,970.08 = 171,970.08 : x
  2. Step 2: Convert to fraction form
    80,049.28/171,970.08 = 171,970.08/x
  3. Step 3: Cross multiply
    80,049.28x = 171,970.08 × 171,970.08
  4. Step 4: Simplify right side
    80,049.28x = 29,573,708,274.14
  5. Step 5: Solve for x
    x = 29,573,708,274.14/80,049.28
  6. Step 6: Final answer
    x = 369,443.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.