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Finding the Third Proportional to 43,170.75 and 94,182.19

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Solution

The third proportional to 43,170.75 and 94,182.19 is: 205,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170.75 : 94,182.19 = 94,182.19 : x
  2. Step 2: Convert to fraction form
    43,170.75/94,182.19 = 94,182.19/x
  3. Step 3: Cross multiply
    43,170.75x = 94,182.19 × 94,182.19
  4. Step 4: Simplify right side
    43,170.75x = 8,870,284,442.29
  5. Step 5: Solve for x
    x = 8,870,284,442.29/43,170.75
  6. Step 6: Final answer
    x = 205,469.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.