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Finding the Third Proportional to 50,186.25 and 108,209.25

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Solution

The third proportional to 50,186.25 and 108,209.25 is: 233,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.25 : 108,209.25 = 108,209.25 : x
  2. Step 2: Convert to fraction form
    50,186.25/108,209.25 = 108,209.25/x
  3. Step 3: Cross multiply
    50,186.25x = 108,209.25 × 108,209.25
  4. Step 4: Simplify right side
    50,186.25x = 11,709,241,785.56
  5. Step 5: Solve for x
    x = 11,709,241,785.56/50,186.25
  6. Step 6: Final answer
    x = 233,315.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.