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Finding the Third Proportional to 105,857.44 and 227,064.38

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Solution

The third proportional to 105,857.44 and 227,064.38 is: 487,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857.44 : 227,064.38 = 227,064.38 : x
  2. Step 2: Convert to fraction form
    105,857.44/227,064.38 = 227,064.38/x
  3. Step 3: Cross multiply
    105,857.44x = 227,064.38 × 227,064.38
  4. Step 4: Simplify right side
    105,857.44x = 51,558,230,394.14
  5. Step 5: Solve for x
    x = 51,558,230,394.14/105,857.44
  6. Step 6: Final answer
    x = 487,053.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.