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Finding the Third Proportional to 50,235.14 and 108,357.54

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Solution

The third proportional to 50,235.14 and 108,357.54 is: 233,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,235.14 : 108,357.54 = 108,357.54 : x
  2. Step 2: Convert to fraction form
    50,235.14/108,357.54 = 108,357.54/x
  3. Step 3: Cross multiply
    50,235.14x = 108,357.54 × 108,357.54
  4. Step 4: Simplify right side
    50,235.14x = 11,741,356,271.68
  5. Step 5: Solve for x
    x = 11,741,356,271.68/50,235.14
  6. Step 6: Final answer
    x = 233,727.95

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Why These Related Problems?

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