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Finding the Third Proportional to 95,869 and 206,763

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Solution

The third proportional to 95,869 and 206,763 is: 445,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,869 : 206,763 = 206,763 : x
  2. Step 2: Convert to fraction form
    95,869/206,763 = 206,763/x
  3. Step 3: Cross multiply
    95,869x = 206,763 × 206,763
  4. Step 4: Simplify right side
    95,869x = 42,750,938,169
  5. Step 5: Solve for x
    x = 42,750,938,169/95,869
  6. Step 6: Final answer
    x = 445,930.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.