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Finding the Third Proportional to 90,299.25 and 192,255.75

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Solution

The third proportional to 90,299.25 and 192,255.75 is: 409,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,299.25 : 192,255.75 = 192,255.75 : x
  2. Step 2: Convert to fraction form
    90,299.25/192,255.75 = 192,255.75/x
  3. Step 3: Cross multiply
    90,299.25x = 192,255.75 × 192,255.75
  4. Step 4: Simplify right side
    90,299.25x = 36,962,273,408.06
  5. Step 5: Solve for x
    x = 36,962,273,408.06/90,299.25
  6. Step 6: Final answer
    x = 409,330.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.