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Finding the Third Proportional to 104,589 and 215,367.75

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Solution

The third proportional to 104,589 and 215,367.75 is: 443,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,589 : 215,367.75 = 215,367.75 : x
  2. Step 2: Convert to fraction form
    104,589/215,367.75 = 215,367.75/x
  3. Step 3: Cross multiply
    104,589x = 215,367.75 × 215,367.75
  4. Step 4: Simplify right side
    104,589x = 46,383,267,740.06
  5. Step 5: Solve for x
    x = 46,383,267,740.06/104,589
  6. Step 6: Final answer
    x = 443,481.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.