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Finding the Third Proportional to 95,195 and 206,803

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Solution

The third proportional to 95,195 and 206,803 is: 449,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195 : 206,803 = 206,803 : x
  2. Step 2: Convert to fraction form
    95,195/206,803 = 206,803/x
  3. Step 3: Cross multiply
    95,195x = 206,803 × 206,803
  4. Step 4: Simplify right side
    95,195x = 42,767,480,809
  5. Step 5: Solve for x
    x = 42,767,480,809/95,195
  6. Step 6: Final answer
    x = 449,261.84

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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.