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Finding the Third Proportional to 89,211 and 192,348

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Solution

The third proportional to 89,211 and 192,348 is: 414,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211 : 192,348 = 192,348 : x
  2. Step 2: Convert to fraction form
    89,211/192,348 = 192,348/x
  3. Step 3: Cross multiply
    89,211x = 192,348 × 192,348
  4. Step 4: Simplify right side
    89,211x = 36,997,753,104
  5. Step 5: Solve for x
    x = 36,997,753,104/89,211
  6. Step 6: Final answer
    x = 414,721.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.