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Finding the Third Proportional to 90,850 and 195,512

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Solution

The third proportional to 90,850 and 195,512 is: 420,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,850 : 195,512 = 195,512 : x
  2. Step 2: Convert to fraction form
    90,850/195,512 = 195,512/x
  3. Step 3: Cross multiply
    90,850x = 195,512 × 195,512
  4. Step 4: Simplify right side
    90,850x = 38,224,942,144
  5. Step 5: Solve for x
    x = 38,224,942,144/90,850
  6. Step 6: Final answer
    x = 420,747.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.