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Finding the Third Proportional to 95,296 and 203,708

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Solution

The third proportional to 95,296 and 203,708 is: 435,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,296 : 203,708 = 203,708 : x
  2. Step 2: Convert to fraction form
    95,296/203,708 = 203,708/x
  3. Step 3: Cross multiply
    95,296x = 203,708 × 203,708
  4. Step 4: Simplify right side
    95,296x = 41,496,949,264
  5. Step 5: Solve for x
    x = 41,496,949,264/95,296
  6. Step 6: Final answer
    x = 435,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.