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Finding the Third Proportional to 91,930.50 and 192,282.75

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Solution

The third proportional to 91,930.50 and 192,282.75 is: 402,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,930.50 : 192,282.75 = 192,282.75 : x
  2. Step 2: Convert to fraction form
    91,930.50/192,282.75 = 192,282.75/x
  3. Step 3: Cross multiply
    91,930.50x = 192,282.75 × 192,282.75
  4. Step 4: Simplify right side
    91,930.50x = 36,972,655,947.56
  5. Step 5: Solve for x
    x = 36,972,655,947.56/91,930.50
  6. Step 6: Final answer
    x = 402,180.52

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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.