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Finding the Third Proportional to 87,441.75 and 188,840.25

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Solution

The third proportional to 87,441.75 and 188,840.25 is: 407,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,441.75 : 188,840.25 = 188,840.25 : x
  2. Step 2: Convert to fraction form
    87,441.75/188,840.25 = 188,840.25/x
  3. Step 3: Cross multiply
    87,441.75x = 188,840.25 × 188,840.25
  4. Step 4: Simplify right side
    87,441.75x = 35,660,640,020.06
  5. Step 5: Solve for x
    x = 35,660,640,020.06/87,441.75
  6. Step 6: Final answer
    x = 407,821.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.