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Finding the Third Proportional to 48,372.19 and 102,618.56

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Solution

The third proportional to 48,372.19 and 102,618.56 is: 217,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,372.19 : 102,618.56 = 102,618.56 : x
  2. Step 2: Convert to fraction form
    48,372.19/102,618.56 = 102,618.56/x
  3. Step 3: Cross multiply
    48,372.19x = 102,618.56 × 102,618.56
  4. Step 4: Simplify right side
    48,372.19x = 10,530,569,369.57
  5. Step 5: Solve for x
    x = 10,530,569,369.57/48,372.19
  6. Step 6: Final answer
    x = 217,698.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.