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Finding the Third Proportional to 50,446.13 and 116,268.75

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Solution

The third proportional to 50,446.13 and 116,268.75 is: 267,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446.13 : 116,268.75 = 116,268.75 : x
  2. Step 2: Convert to fraction form
    50,446.13/116,268.75 = 116,268.75/x
  3. Step 3: Cross multiply
    50,446.13x = 116,268.75 × 116,268.75
  4. Step 4: Simplify right side
    50,446.13x = 13,518,422,226.56
  5. Step 5: Solve for x
    x = 13,518,422,226.56/50,446.13
  6. Step 6: Final answer
    x = 267,977.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.