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Finding the Third Proportional to 50,711.06 and 108,894.38

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Solution

The third proportional to 50,711.06 and 108,894.38 is: 233,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.06 : 108,894.38 = 108,894.38 : x
  2. Step 2: Convert to fraction form
    50,711.06/108,894.38 = 108,894.38/x
  3. Step 3: Cross multiply
    50,711.06x = 108,894.38 × 108,894.38
  4. Step 4: Simplify right side
    50,711.06x = 11,857,984,906.64
  5. Step 5: Solve for x
    x = 11,857,984,906.64/50,711.06
  6. Step 6: Final answer
    x = 233,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.