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Finding the Third Proportional to 95,869 and 206,455

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Solution

The third proportional to 95,869 and 206,455 is: 444,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,869 : 206,455 = 206,455 : x
  2. Step 2: Convert to fraction form
    95,869/206,455 = 206,455/x
  3. Step 3: Cross multiply
    95,869x = 206,455 × 206,455
  4. Step 4: Simplify right side
    95,869x = 42,623,667,025
  5. Step 5: Solve for x
    x = 42,623,667,025/95,869
  6. Step 6: Final answer
    x = 444,603.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.