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Finding the Third Proportional to 83,206.13 and 182,251.69

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Solution

The third proportional to 83,206.13 and 182,251.69 is: 399,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.13 : 182,251.69 = 182,251.69 : x
  2. Step 2: Convert to fraction form
    83,206.13/182,251.69 = 182,251.69/x
  3. Step 3: Cross multiply
    83,206.13x = 182,251.69 × 182,251.69
  4. Step 4: Simplify right side
    83,206.13x = 33,215,677,596.60
  5. Step 5: Solve for x
    x = 33,215,677,596.60/83,206.13
  6. Step 6: Final answer
    x = 399,197.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.