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Finding the Third Proportional to 44,206 and 96,188

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Solution

The third proportional to 44,206 and 96,188 is: 209,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,206 : 96,188 = 96,188 : x
  2. Step 2: Convert to fraction form
    44,206/96,188 = 96,188/x
  3. Step 3: Cross multiply
    44,206x = 96,188 × 96,188
  4. Step 4: Simplify right side
    44,206x = 9,252,131,344
  5. Step 5: Solve for x
    x = 9,252,131,344/44,206
  6. Step 6: Final answer
    x = 209,295.83

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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.