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Finding the Third Proportional to 80,218.27 and 171,824.41

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Solution

The third proportional to 80,218.27 and 171,824.41 is: 368,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,218.27 : 171,824.41 = 171,824.41 : x
  2. Step 2: Convert to fraction form
    80,218.27/171,824.41 = 171,824.41/x
  3. Step 3: Cross multiply
    80,218.27x = 171,824.41 × 171,824.41
  4. Step 4: Simplify right side
    80,218.27x = 29,523,629,267.92
  5. Step 5: Solve for x
    x = 29,523,629,267.92/80,218.27
  6. Step 6: Final answer
    x = 368,041.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.