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Finding the Third Proportional to 90,247.50 and 195,250.50

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Solution

The third proportional to 90,247.50 and 195,250.50 is: 422,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,247.50 : 195,250.50 = 195,250.50 : x
  2. Step 2: Convert to fraction form
    90,247.50/195,250.50 = 195,250.50/x
  3. Step 3: Cross multiply
    90,247.50x = 195,250.50 × 195,250.50
  4. Step 4: Simplify right side
    90,247.50x = 38,122,757,750.25
  5. Step 5: Solve for x
    x = 38,122,757,750.25/90,247.50
  6. Step 6: Final answer
    x = 422,424.53

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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.