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Finding the Third Proportional to 105,205.50 and 225,183.38

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Solution

The third proportional to 105,205.50 and 225,183.38 is: 481,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,205.50 : 225,183.38 = 225,183.38 : x
  2. Step 2: Convert to fraction form
    105,205.50/225,183.38 = 225,183.38/x
  3. Step 3: Cross multiply
    105,205.50x = 225,183.38 × 225,183.38
  4. Step 4: Simplify right side
    105,205.50x = 50,707,552,376.39
  5. Step 5: Solve for x
    x = 50,707,552,376.39/105,205.50
  6. Step 6: Final answer
    x = 481,985.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.