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Finding the Third Proportional to 88,892 and 188,241

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Solution

The third proportional to 88,892 and 188,241 is: 398,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,892 : 188,241 = 188,241 : x
  2. Step 2: Convert to fraction form
    88,892/188,241 = 188,241/x
  3. Step 3: Cross multiply
    88,892x = 188,241 × 188,241
  4. Step 4: Simplify right side
    88,892x = 35,434,674,081
  5. Step 5: Solve for x
    x = 35,434,674,081/88,892
  6. Step 6: Final answer
    x = 398,626.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.