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Finding the Third Proportional to 95,193 and 206,798.25

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Solution

The third proportional to 95,193 and 206,798.25 is: 449,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,193 : 206,798.25 = 206,798.25 : x
  2. Step 2: Convert to fraction form
    95,193/206,798.25 = 206,798.25/x
  3. Step 3: Cross multiply
    95,193x = 206,798.25 × 206,798.25
  4. Step 4: Simplify right side
    95,193x = 42,765,516,203.06
  5. Step 5: Solve for x
    x = 42,765,516,203.06/95,193
  6. Step 6: Final answer
    x = 449,250.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.