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Finding the Third Proportional to 92,241 and 188,802

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Solution

The third proportional to 92,241 and 188,802 is: 386,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,241 : 188,802 = 188,802 : x
  2. Step 2: Convert to fraction form
    92,241/188,802 = 188,802/x
  3. Step 3: Cross multiply
    92,241x = 188,802 × 188,802
  4. Step 4: Simplify right side
    92,241x = 35,646,195,204
  5. Step 5: Solve for x
    x = 35,646,195,204/92,241
  6. Step 6: Final answer
    x = 386,446.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.