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Finding the Third Proportional to 91,180.50 and 195,846.75

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Solution

The third proportional to 91,180.50 and 195,846.75 is: 420,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,180.50 : 195,846.75 = 195,846.75 : x
  2. Step 2: Convert to fraction form
    91,180.50/195,846.75 = 195,846.75/x
  3. Step 3: Cross multiply
    91,180.50x = 195,846.75 × 195,846.75
  4. Step 4: Simplify right side
    91,180.50x = 38,355,949,485.56
  5. Step 5: Solve for x
    x = 38,355,949,485.56/91,180.50
  6. Step 6: Final answer
    x = 420,659.57

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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.