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Finding the Third Proportional to 50,851.69 and 109,356.19

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Solution

The third proportional to 50,851.69 and 109,356.19 is: 235,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.69 : 109,356.19 = 109,356.19 : x
  2. Step 2: Convert to fraction form
    50,851.69/109,356.19 = 109,356.19/x
  3. Step 3: Cross multiply
    50,851.69x = 109,356.19 × 109,356.19
  4. Step 4: Simplify right side
    50,851.69x = 11,958,775,744.54
  5. Step 5: Solve for x
    x = 11,958,775,744.54/50,851.69
  6. Step 6: Final answer
    x = 235,169.69

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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.