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Finding the Third Proportional to 107,007 and 227,838

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Solution

The third proportional to 107,007 and 227,838 is: 485,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007 : 227,838 = 227,838 : x
  2. Step 2: Convert to fraction form
    107,007/227,838 = 227,838/x
  3. Step 3: Cross multiply
    107,007x = 227,838 × 227,838
  4. Step 4: Simplify right side
    107,007x = 51,910,154,244
  5. Step 5: Solve for x
    x = 51,910,154,244/107,007
  6. Step 6: Final answer
    x = 485,109.89

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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.