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Finding the Third Proportional to 95,824.50 and 203,940.75

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Solution

The third proportional to 95,824.50 and 203,940.75 is: 434,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,824.50 : 203,940.75 = 203,940.75 : x
  2. Step 2: Convert to fraction form
    95,824.50/203,940.75 = 203,940.75/x
  3. Step 3: Cross multiply
    95,824.50x = 203,940.75 × 203,940.75
  4. Step 4: Simplify right side
    95,824.50x = 41,591,829,510.56
  5. Step 5: Solve for x
    x = 41,591,829,510.56/95,824.50
  6. Step 6: Final answer
    x = 434,041.71

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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.