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Finding the Third Proportional to 95,696 and 209,632

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Solution

The third proportional to 95,696 and 209,632 is: 459,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,696 : 209,632 = 209,632 : x
  2. Step 2: Convert to fraction form
    95,696/209,632 = 209,632/x
  3. Step 3: Cross multiply
    95,696x = 209,632 × 209,632
  4. Step 4: Simplify right side
    95,696x = 43,945,575,424
  5. Step 5: Solve for x
    x = 43,945,575,424/95,696
  6. Step 6: Final answer
    x = 459,220.61

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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.