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Finding the Third Proportional to 91,535.06 and 198,294.19

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Solution

The third proportional to 91,535.06 and 198,294.19 is: 429,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,535.06 : 198,294.19 = 198,294.19 : x
  2. Step 2: Convert to fraction form
    91,535.06/198,294.19 = 198,294.19/x
  3. Step 3: Cross multiply
    91,535.06x = 198,294.19 × 198,294.19
  4. Step 4: Simplify right side
    91,535.06x = 39,320,584,796.29
  5. Step 5: Solve for x
    x = 39,320,584,796.29/91,535.06
  6. Step 6: Final answer
    x = 429,568.56

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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.