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Finding the Third Proportional to 98,533 and 204,074

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Solution

The third proportional to 98,533 and 204,074 is: 422,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533 : 204,074 = 204,074 : x
  2. Step 2: Convert to fraction form
    98,533/204,074 = 204,074/x
  3. Step 3: Cross multiply
    98,533x = 204,074 × 204,074
  4. Step 4: Simplify right side
    98,533x = 41,646,197,476
  5. Step 5: Solve for x
    x = 41,646,197,476/98,533
  6. Step 6: Final answer
    x = 422,662.43

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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.