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Finding the Third Proportional to 108,950 and 227,884

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Solution

The third proportional to 108,950 and 227,884 is: 476,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,950 : 227,884 = 227,884 : x
  2. Step 2: Convert to fraction form
    108,950/227,884 = 227,884/x
  3. Step 3: Cross multiply
    108,950x = 227,884 × 227,884
  4. Step 4: Simplify right side
    108,950x = 51,931,117,456
  5. Step 5: Solve for x
    x = 51,931,117,456/108,950
  6. Step 6: Final answer
    x = 476,650.92

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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.