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Finding the Third Proportional to 106,651.69 and 150,013.69

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Solution

The third proportional to 106,651.69 and 150,013.69 is: 211,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.69 : 150,013.69 = 150,013.69 : x
  2. Step 2: Convert to fraction form
    106,651.69/150,013.69 = 150,013.69/x
  3. Step 3: Cross multiply
    106,651.69x = 150,013.69 × 150,013.69
  4. Step 4: Simplify right side
    106,651.69x = 22,504,106,437.35
  5. Step 5: Solve for x
    x = 22,504,106,437.35/106,651.69
  6. Step 6: Final answer
    x = 211,005.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.