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Finding the Third Proportional to 90,016.50 and 193,884

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Solution

The third proportional to 90,016.50 and 193,884 is: 417,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,016.50 : 193,884 = 193,884 : x
  2. Step 2: Convert to fraction form
    90,016.50/193,884 = 193,884/x
  3. Step 3: Cross multiply
    90,016.50x = 193,884 × 193,884
  4. Step 4: Simplify right side
    90,016.50x = 37,591,005,456
  5. Step 5: Solve for x
    x = 37,591,005,456/90,016.50
  6. Step 6: Final answer
    x = 417,601.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.