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Finding the Third Proportional to 50,365.13 and 109,716.19

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Solution

The third proportional to 50,365.13 and 109,716.19 is: 239,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365.13 : 109,716.19 = 109,716.19 : x
  2. Step 2: Convert to fraction form
    50,365.13/109,716.19 = 109,716.19/x
  3. Step 3: Cross multiply
    50,365.13x = 109,716.19 × 109,716.19
  4. Step 4: Simplify right side
    50,365.13x = 12,037,641,799.54
  5. Step 5: Solve for x
    x = 12,037,641,799.54/50,365.13
  6. Step 6: Final answer
    x = 239,007.48

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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.