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Finding the Third Proportional to 50,107.72 and 108,048.27

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Solution

The third proportional to 50,107.72 and 108,048.27 is: 232,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.72 : 108,048.27 = 108,048.27 : x
  2. Step 2: Convert to fraction form
    50,107.72/108,048.27 = 108,048.27/x
  3. Step 3: Cross multiply
    50,107.72x = 108,048.27 × 108,048.27
  4. Step 4: Simplify right side
    50,107.72x = 11,674,427,599.05
  5. Step 5: Solve for x
    x = 11,674,427,599.05/50,107.72
  6. Step 6: Final answer
    x = 232,986.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.