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Finding the Third Proportional to 47,019 and 96,198

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Solution

The third proportional to 47,019 and 96,198 is: 196,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,019 : 96,198 = 96,198 : x
  2. Step 2: Convert to fraction form
    47,019/96,198 = 96,198/x
  3. Step 3: Cross multiply
    47,019x = 96,198 × 96,198
  4. Step 4: Simplify right side
    47,019x = 9,254,055,204
  5. Step 5: Solve for x
    x = 9,254,055,204/47,019
  6. Step 6: Final answer
    x = 196,815.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.