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Finding the Third Proportional to 48,068.44 and 105,183.56

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Solution

The third proportional to 48,068.44 and 105,183.56 is: 230,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,068.44 : 105,183.56 = 105,183.56 : x
  2. Step 2: Convert to fraction form
    48,068.44/105,183.56 = 105,183.56/x
  3. Step 3: Cross multiply
    48,068.44x = 105,183.56 × 105,183.56
  4. Step 4: Simplify right side
    48,068.44x = 11,063,581,820.19
  5. Step 5: Solve for x
    x = 11,063,581,820.19/48,068.44
  6. Step 6: Final answer
    x = 230,163.13

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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.