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Finding the Third Proportional to 90,022.50 and 196,245

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Solution

The third proportional to 90,022.50 and 196,245 is: 427,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,022.50 : 196,245 = 196,245 : x
  2. Step 2: Convert to fraction form
    90,022.50/196,245 = 196,245/x
  3. Step 3: Cross multiply
    90,022.50x = 196,245 × 196,245
  4. Step 4: Simplify right side
    90,022.50x = 38,512,100,025
  5. Step 5: Solve for x
    x = 38,512,100,025/90,022.50
  6. Step 6: Final answer
    x = 427,805.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.