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Finding the Third Proportional to 105,927.75 and 227,184.75

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Solution

The third proportional to 105,927.75 and 227,184.75 is: 487,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,927.75 : 227,184.75 = 227,184.75 : x
  2. Step 2: Convert to fraction form
    105,927.75/227,184.75 = 227,184.75/x
  3. Step 3: Cross multiply
    105,927.75x = 227,184.75 × 227,184.75
  4. Step 4: Simplify right side
    105,927.75x = 51,612,910,632.56
  5. Step 5: Solve for x
    x = 51,612,910,632.56/105,927.75
  6. Step 6: Final answer
    x = 487,246.36

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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.