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Finding the Third Proportional to 50,933.18 and 111,331.97

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Solution

The third proportional to 50,933.18 and 111,331.97 is: 243,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,933.18 : 111,331.97 = 111,331.97 : x
  2. Step 2: Convert to fraction form
    50,933.18/111,331.97 = 111,331.97/x
  3. Step 3: Cross multiply
    50,933.18x = 111,331.97 × 111,331.97
  4. Step 4: Simplify right side
    50,933.18x = 12,394,807,265.75
  5. Step 5: Solve for x
    x = 12,394,807,265.75/50,933.18
  6. Step 6: Final answer
    x = 243,354.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.