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Finding the Third Proportional to 47,855 and 98,098

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Solution

The third proportional to 47,855 and 98,098 is: 201,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855 : 98,098 = 98,098 : x
  2. Step 2: Convert to fraction form
    47,855/98,098 = 98,098/x
  3. Step 3: Cross multiply
    47,855x = 98,098 × 98,098
  4. Step 4: Simplify right side
    47,855x = 9,623,217,604
  5. Step 5: Solve for x
    x = 9,623,217,604/47,855
  6. Step 6: Final answer
    x = 201,091.16

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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.