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Finding the Third Proportional to 98,828 and 204,244

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Solution

The third proportional to 98,828 and 204,244 is: 422,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,828 : 204,244 = 204,244 : x
  2. Step 2: Convert to fraction form
    98,828/204,244 = 204,244/x
  3. Step 3: Cross multiply
    98,828x = 204,244 × 204,244
  4. Step 4: Simplify right side
    98,828x = 41,715,611,536
  5. Step 5: Solve for x
    x = 41,715,611,536/98,828
  6. Step 6: Final answer
    x = 422,103.16

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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.