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Finding the Third Proportional to 95,793 and 209,706

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Solution

The third proportional to 95,793 and 209,706 is: 459,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,793 : 209,706 = 209,706 : x
  2. Step 2: Convert to fraction form
    95,793/209,706 = 209,706/x
  3. Step 3: Cross multiply
    95,793x = 209,706 × 209,706
  4. Step 4: Simplify right side
    95,793x = 43,976,606,436
  5. Step 5: Solve for x
    x = 43,976,606,436/95,793
  6. Step 6: Final answer
    x = 459,079.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.