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Finding the Third Proportional to 47,198 and 101,390

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Solution

The third proportional to 47,198 and 101,390 is: 217,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198 : 101,390 = 101,390 : x
  2. Step 2: Convert to fraction form
    47,198/101,390 = 101,390/x
  3. Step 3: Cross multiply
    47,198x = 101,390 × 101,390
  4. Step 4: Simplify right side
    47,198x = 10,279,932,100
  5. Step 5: Solve for x
    x = 10,279,932,100/47,198
  6. Step 6: Final answer
    x = 217,804.40

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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.