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Finding the Third Proportional to 47,888 and 98,161

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Solution

The third proportional to 47,888 and 98,161 is: 201,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,888 : 98,161 = 98,161 : x
  2. Step 2: Convert to fraction form
    47,888/98,161 = 98,161/x
  3. Step 3: Cross multiply
    47,888x = 98,161 × 98,161
  4. Step 4: Simplify right side
    47,888x = 9,635,581,921
  5. Step 5: Solve for x
    x = 9,635,581,921/47,888
  6. Step 6: Final answer
    x = 201,210.78

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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.