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Finding the Third Proportional to 50,986.69 and 109,351.97

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Solution

The third proportional to 50,986.69 and 109,351.97 is: 234,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.69 : 109,351.97 = 109,351.97 : x
  2. Step 2: Convert to fraction form
    50,986.69/109,351.97 = 109,351.97/x
  3. Step 3: Cross multiply
    50,986.69x = 109,351.97 × 109,351.97
  4. Step 4: Simplify right side
    50,986.69x = 11,957,853,069.50
  5. Step 5: Solve for x
    x = 11,957,853,069.50/50,986.69
  6. Step 6: Final answer
    x = 234,528.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.