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Finding the Third Proportional to 49,242.94 and 108,018.56

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Solution

The third proportional to 49,242.94 and 108,018.56 is: 236,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242.94 : 108,018.56 = 108,018.56 : x
  2. Step 2: Convert to fraction form
    49,242.94/108,018.56 = 108,018.56/x
  3. Step 3: Cross multiply
    49,242.94x = 108,018.56 × 108,018.56
  4. Step 4: Simplify right side
    49,242.94x = 11,668,009,844.57
  5. Step 5: Solve for x
    x = 11,668,009,844.57/49,242.94
  6. Step 6: Final answer
    x = 236,947.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.