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Finding the Third Proportional to 85,777.88 and 188,170.88

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Solution

The third proportional to 85,777.88 and 188,170.88 is: 412,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,777.88 : 188,170.88 = 188,170.88 : x
  2. Step 2: Convert to fraction form
    85,777.88/188,170.88 = 188,170.88/x
  3. Step 3: Cross multiply
    85,777.88x = 188,170.88 × 188,170.88
  4. Step 4: Simplify right side
    85,777.88x = 35,408,278,198.27
  5. Step 5: Solve for x
    x = 35,408,278,198.27/85,777.88
  6. Step 6: Final answer
    x = 412,790.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.