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Finding the Third Proportional to 80,444 and 133,302

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Solution

The third proportional to 80,444 and 133,302 is: 220,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,444 : 133,302 = 133,302 : x
  2. Step 2: Convert to fraction form
    80,444/133,302 = 133,302/x
  3. Step 3: Cross multiply
    80,444x = 133,302 × 133,302
  4. Step 4: Simplify right side
    80,444x = 17,769,423,204
  5. Step 5: Solve for x
    x = 17,769,423,204/80,444
  6. Step 6: Final answer
    x = 220,891.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.