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Finding the Third Proportional to 91,930.50 and 192,286.50

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Solution

The third proportional to 91,930.50 and 192,286.50 is: 402,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,930.50 : 192,286.50 = 192,286.50 : x
  2. Step 2: Convert to fraction form
    91,930.50/192,286.50 = 192,286.50/x
  3. Step 3: Cross multiply
    91,930.50x = 192,286.50 × 192,286.50
  4. Step 4: Simplify right side
    91,930.50x = 36,974,098,082.25
  5. Step 5: Solve for x
    x = 36,974,098,082.25/91,930.50
  6. Step 6: Final answer
    x = 402,196.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.