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Finding the Third Proportional to 106,437.38 and 227,329.88

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Solution

The third proportional to 106,437.38 and 227,329.88 is: 485,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,437.38 : 227,329.88 = 227,329.88 : x
  2. Step 2: Convert to fraction form
    106,437.38/227,329.88 = 227,329.88/x
  3. Step 3: Cross multiply
    106,437.38x = 227,329.88 × 227,329.88
  4. Step 4: Simplify right side
    106,437.38x = 51,678,872,067.52
  5. Step 5: Solve for x
    x = 51,678,872,067.52/106,437.38
  6. Step 6: Final answer
    x = 485,533.13

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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.