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Finding the Third Proportional to 91,213.50 and 195,912.75

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Solution

The third proportional to 91,213.50 and 195,912.75 is: 420,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,213.50 : 195,912.75 = 195,912.75 : x
  2. Step 2: Convert to fraction form
    91,213.50/195,912.75 = 195,912.75/x
  3. Step 3: Cross multiply
    91,213.50x = 195,912.75 × 195,912.75
  4. Step 4: Simplify right side
    91,213.50x = 38,381,805,612.56
  5. Step 5: Solve for x
    x = 38,381,805,612.56/91,213.50
  6. Step 6: Final answer
    x = 420,790.84

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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.