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Finding the Third Proportional to 50,464.69 and 106,155.56

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Solution

The third proportional to 50,464.69 and 106,155.56 is: 223,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464.69 : 106,155.56 = 106,155.56 : x
  2. Step 2: Convert to fraction form
    50,464.69/106,155.56 = 106,155.56/x
  3. Step 3: Cross multiply
    50,464.69x = 106,155.56 × 106,155.56
  4. Step 4: Simplify right side
    50,464.69x = 11,269,003,449.69
  5. Step 5: Solve for x
    x = 11,269,003,449.69/50,464.69
  6. Step 6: Final answer
    x = 223,304.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.