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Finding the Third Proportional to 95,859 and 204,003

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Solution

The third proportional to 95,859 and 204,003 is: 434,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,859 : 204,003 = 204,003 : x
  2. Step 2: Convert to fraction form
    95,859/204,003 = 204,003/x
  3. Step 3: Cross multiply
    95,859x = 204,003 × 204,003
  4. Step 4: Simplify right side
    95,859x = 41,617,224,009
  5. Step 5: Solve for x
    x = 41,617,224,009/95,859
  6. Step 6: Final answer
    x = 434,150.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.