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Finding the Third Proportional to 85,649.91 and 188,385.75

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Solution

The third proportional to 85,649.91 and 188,385.75 is: 414,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,649.91 : 188,385.75 = 188,385.75 : x
  2. Step 2: Convert to fraction form
    85,649.91/188,385.75 = 188,385.75/x
  3. Step 3: Cross multiply
    85,649.91x = 188,385.75 × 188,385.75
  4. Step 4: Simplify right side
    85,649.91x = 35,489,190,803.06
  5. Step 5: Solve for x
    x = 35,489,190,803.06/85,649.91
  6. Step 6: Final answer
    x = 414,351.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.