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Finding the Third Proportional to 105,936 and 227,217

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Solution

The third proportional to 105,936 and 227,217 is: 487,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,936 : 227,217 = 227,217 : x
  2. Step 2: Convert to fraction form
    105,936/227,217 = 227,217/x
  3. Step 3: Cross multiply
    105,936x = 227,217 × 227,217
  4. Step 4: Simplify right side
    105,936x = 51,627,565,089
  5. Step 5: Solve for x
    x = 51,627,565,089/105,936
  6. Step 6: Final answer
    x = 487,346.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.