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Finding the Third Proportional to 95,147.02 and 198,165.59

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Solution

The third proportional to 95,147.02 and 198,165.59 is: 412,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,147.02 : 198,165.59 = 198,165.59 : x
  2. Step 2: Convert to fraction form
    95,147.02/198,165.59 = 198,165.59/x
  3. Step 3: Cross multiply
    95,147.02x = 198,165.59 × 198,165.59
  4. Step 4: Simplify right side
    95,147.02x = 39,269,599,449.95
  5. Step 5: Solve for x
    x = 39,269,599,449.95/95,147.02
  6. Step 6: Final answer
    x = 412,725.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.