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Finding the Third Proportional to 90,192 and 195,932

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Solution

The third proportional to 90,192 and 195,932 is: 425,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,192 : 195,932 = 195,932 : x
  2. Step 2: Convert to fraction form
    90,192/195,932 = 195,932/x
  3. Step 3: Cross multiply
    90,192x = 195,932 × 195,932
  4. Step 4: Simplify right side
    90,192x = 38,389,348,624
  5. Step 5: Solve for x
    x = 38,389,348,624/90,192
  6. Step 6: Final answer
    x = 425,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.