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Finding the Third Proportional to 108,935 and 227,847

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Solution

The third proportional to 108,935 and 227,847 is: 476,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,935 : 227,847 = 227,847 : x
  2. Step 2: Convert to fraction form
    108,935/227,847 = 227,847/x
  3. Step 3: Cross multiply
    108,935x = 227,847 × 227,847
  4. Step 4: Simplify right side
    108,935x = 51,914,255,409
  5. Step 5: Solve for x
    x = 51,914,255,409/108,935
  6. Step 6: Final answer
    x = 476,561.76

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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.