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Finding the Third Proportional to 48,651.75 and 105,299.81

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Solution

The third proportional to 48,651.75 and 105,299.81 is: 227,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,651.75 : 105,299.81 = 105,299.81 : x
  2. Step 2: Convert to fraction form
    48,651.75/105,299.81 = 105,299.81/x
  3. Step 3: Cross multiply
    48,651.75x = 105,299.81 × 105,299.81
  4. Step 4: Simplify right side
    48,651.75x = 11,088,050,512.54
  5. Step 5: Solve for x
    x = 11,088,050,512.54/48,651.75
  6. Step 6: Final answer
    x = 227,906.51

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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.