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Finding the Third Proportional to 91,960.31 and 198,433.13

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Solution

The third proportional to 91,960.31 and 198,433.13 is: 428,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,960.31 : 198,433.13 = 198,433.13 : x
  2. Step 2: Convert to fraction form
    91,960.31/198,433.13 = 198,433.13/x
  3. Step 3: Cross multiply
    91,960.31x = 198,433.13 × 198,433.13
  4. Step 4: Simplify right side
    91,960.31x = 39,375,705,097.27
  5. Step 5: Solve for x
    x = 39,375,705,097.27/91,960.31
  6. Step 6: Final answer
    x = 428,181.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.