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Finding the Third Proportional to 91,180 and 195,992

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Solution

The third proportional to 91,180 and 195,992 is: 421,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,180 : 195,992 = 195,992 : x
  2. Step 2: Convert to fraction form
    91,180/195,992 = 195,992/x
  3. Step 3: Cross multiply
    91,180x = 195,992 × 195,992
  4. Step 4: Simplify right side
    91,180x = 38,412,864,064
  5. Step 5: Solve for x
    x = 38,412,864,064/91,180
  6. Step 6: Final answer
    x = 421,286.07

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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.