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Finding the Third Proportional to 94,839.75 and 198,447.56

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Solution

The third proportional to 94,839.75 and 198,447.56 is: 415,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,839.75 : 198,447.56 = 198,447.56 : x
  2. Step 2: Convert to fraction form
    94,839.75/198,447.56 = 198,447.56/x
  3. Step 3: Cross multiply
    94,839.75x = 198,447.56 × 198,447.56
  4. Step 4: Simplify right side
    94,839.75x = 39,381,435,062.19
  5. Step 5: Solve for x
    x = 39,381,435,062.19/94,839.75
  6. Step 6: Final answer
    x = 415,241.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.