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Finding the Third Proportional to 98,510 and 204,027

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Solution

The third proportional to 98,510 and 204,027 is: 422,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,510 : 204,027 = 204,027 : x
  2. Step 2: Convert to fraction form
    98,510/204,027 = 204,027/x
  3. Step 3: Cross multiply
    98,510x = 204,027 × 204,027
  4. Step 4: Simplify right side
    98,510x = 41,627,016,729
  5. Step 5: Solve for x
    x = 41,627,016,729/98,510
  6. Step 6: Final answer
    x = 422,566.41

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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.