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Finding the Third Proportional to 98,863 and 204,739

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Solution

The third proportional to 98,863 and 204,739 is: 424,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863 : 204,739 = 204,739 : x
  2. Step 2: Convert to fraction form
    98,863/204,739 = 204,739/x
  3. Step 3: Cross multiply
    98,863x = 204,739 × 204,739
  4. Step 4: Simplify right side
    98,863x = 41,918,058,121
  5. Step 5: Solve for x
    x = 41,918,058,121/98,863
  6. Step 6: Final answer
    x = 424,001.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.