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Finding the Third Proportional to 103,868 and 227,392

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Solution

The third proportional to 103,868 and 227,392 is: 497,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,868 : 227,392 = 227,392 : x
  2. Step 2: Convert to fraction form
    103,868/227,392 = 227,392/x
  3. Step 3: Cross multiply
    103,868x = 227,392 × 227,392
  4. Step 4: Simplify right side
    103,868x = 51,707,121,664
  5. Step 5: Solve for x
    x = 51,707,121,664/103,868
  6. Step 6: Final answer
    x = 497,815.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.