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Finding the Third Proportional to 91,489.50 and 198,186.75

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Solution

The third proportional to 91,489.50 and 198,186.75 is: 429,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,489.50 : 198,186.75 = 198,186.75 : x
  2. Step 2: Convert to fraction form
    91,489.50/198,186.75 = 198,186.75/x
  3. Step 3: Cross multiply
    91,489.50x = 198,186.75 × 198,186.75
  4. Step 4: Simplify right side
    91,489.50x = 39,277,987,875.56
  5. Step 5: Solve for x
    x = 39,277,987,875.56/91,489.50
  6. Step 6: Final answer
    x = 429,316.89

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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.