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Finding the Third Proportional to 48,719.81 and 106,749.56

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Solution

The third proportional to 48,719.81 and 106,749.56 is: 233,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,719.81 : 106,749.56 = 106,749.56 : x
  2. Step 2: Convert to fraction form
    48,719.81/106,749.56 = 106,749.56/x
  3. Step 3: Cross multiply
    48,719.81x = 106,749.56 × 106,749.56
  4. Step 4: Simplify right side
    48,719.81x = 11,395,469,093.94
  5. Step 5: Solve for x
    x = 11,395,469,093.94/48,719.81
  6. Step 6: Final answer
    x = 233,898.05

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Why These Related Problems?

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