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Finding the Third Proportional to 108,631.75 and 227,185.75

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Solution

The third proportional to 108,631.75 and 227,185.75 is: 475,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,631.75 : 227,185.75 = 227,185.75 : x
  2. Step 2: Convert to fraction form
    108,631.75/227,185.75 = 227,185.75/x
  3. Step 3: Cross multiply
    108,631.75x = 227,185.75 × 227,185.75
  4. Step 4: Simplify right side
    108,631.75x = 51,613,365,003.06
  5. Step 5: Solve for x
    x = 51,613,365,003.06/108,631.75
  6. Step 6: Final answer
    x = 475,122.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.