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Finding the Third Proportional to 91,723.50 and 198,713.25

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Solution

The third proportional to 91,723.50 and 198,713.25 is: 430,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,723.50 : 198,713.25 = 198,713.25 : x
  2. Step 2: Convert to fraction form
    91,723.50/198,713.25 = 198,713.25/x
  3. Step 3: Cross multiply
    91,723.50x = 198,713.25 × 198,713.25
  4. Step 4: Simplify right side
    91,723.50x = 39,486,955,725.56
  5. Step 5: Solve for x
    x = 39,486,955,725.56/91,723.50
  6. Step 6: Final answer
    x = 430,499.88

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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.