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Finding the Third Proportional to 80,822.63 and 175,635.38

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Solution

The third proportional to 80,822.63 and 175,635.38 is: 381,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,822.63 : 175,635.38 = 175,635.38 : x
  2. Step 2: Convert to fraction form
    80,822.63/175,635.38 = 175,635.38/x
  3. Step 3: Cross multiply
    80,822.63x = 175,635.38 × 175,635.38
  4. Step 4: Simplify right side
    80,822.63x = 30,847,784,951.39
  5. Step 5: Solve for x
    x = 30,847,784,951.39/80,822.63
  6. Step 6: Final answer
    x = 381,672.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.