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Finding the Third Proportional to 96,568 and 204,800

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Solution

The third proportional to 96,568 and 204,800 is: 434,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,568 : 204,800 = 204,800 : x
  2. Step 2: Convert to fraction form
    96,568/204,800 = 204,800/x
  3. Step 3: Cross multiply
    96,568x = 204,800 × 204,800
  4. Step 4: Simplify right side
    96,568x = 41,943,040,000
  5. Step 5: Solve for x
    x = 41,943,040,000/96,568
  6. Step 6: Final answer
    x = 434,336.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.