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Finding the Third Proportional to 95,195.25 and 202,601.25

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Solution

The third proportional to 95,195.25 and 202,601.25 is: 431,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195.25 : 202,601.25 = 202,601.25 : x
  2. Step 2: Convert to fraction form
    95,195.25/202,601.25 = 202,601.25/x
  3. Step 3: Cross multiply
    95,195.25x = 202,601.25 × 202,601.25
  4. Step 4: Simplify right side
    95,195.25x = 41,047,266,501.56
  5. Step 5: Solve for x
    x = 41,047,266,501.56/95,195.25
  6. Step 6: Final answer
    x = 431,190.28

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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.