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Finding the Third Proportional to 106,046.13 and 227,272.44

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Solution

The third proportional to 106,046.13 and 227,272.44 is: 487,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.13 : 227,272.44 = 227,272.44 : x
  2. Step 2: Convert to fraction form
    106,046.13/227,272.44 = 227,272.44/x
  3. Step 3: Cross multiply
    106,046.13x = 227,272.44 × 227,272.44
  4. Step 4: Simplify right side
    106,046.13x = 51,652,760,847.19
  5. Step 5: Solve for x
    x = 51,652,760,847.19/106,046.13
  6. Step 6: Final answer
    x = 487,078.25

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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.