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Finding the Third Proportional to 50,909.13 and 109,708.17

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Solution

The third proportional to 50,909.13 and 109,708.17 is: 236,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,909.13 : 109,708.17 = 109,708.17 : x
  2. Step 2: Convert to fraction form
    50,909.13/109,708.17 = 109,708.17/x
  3. Step 3: Cross multiply
    50,909.13x = 109,708.17 × 109,708.17
  4. Step 4: Simplify right side
    50,909.13x = 12,035,882,976.15
  5. Step 5: Solve for x
    x = 12,035,882,976.15/50,909.13
  6. Step 6: Final answer
    x = 236,418.94

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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.