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Finding the Third Proportional to 95,916 and 195,640

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Solution

The third proportional to 95,916 and 195,640 is: 399,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 195,640 = 195,640 : x
  2. Step 2: Convert to fraction form
    95,916/195,640 = 195,640/x
  3. Step 3: Cross multiply
    95,916x = 195,640 × 195,640
  4. Step 4: Simplify right side
    95,916x = 38,275,009,600
  5. Step 5: Solve for x
    x = 38,275,009,600/95,916
  6. Step 6: Final answer
    x = 399,047.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.