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Finding the Third Proportional to 106,403.63 and 227,022.75

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Solution

The third proportional to 106,403.63 and 227,022.75 is: 484,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,403.63 : 227,022.75 = 227,022.75 : x
  2. Step 2: Convert to fraction form
    106,403.63/227,022.75 = 227,022.75/x
  3. Step 3: Cross multiply
    106,403.63x = 227,022.75 × 227,022.75
  4. Step 4: Simplify right side
    106,403.63x = 51,539,329,017.56
  5. Step 5: Solve for x
    x = 51,539,329,017.56/106,403.63
  6. Step 6: Final answer
    x = 484,375.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.