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Finding the Third Proportional to 107,472.23 and 227,745.84

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Solution

The third proportional to 107,472.23 and 227,745.84 is: 482,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472.23 : 227,745.84 = 227,745.84 : x
  2. Step 2: Convert to fraction form
    107,472.23/227,745.84 = 227,745.84/x
  3. Step 3: Cross multiply
    107,472.23x = 227,745.84 × 227,745.84
  4. Step 4: Simplify right side
    107,472.23x = 51,868,169,345.40
  5. Step 5: Solve for x
    x = 51,868,169,345.40/107,472.23
  6. Step 6: Final answer
    x = 482,619.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.