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Finding the Third Proportional to 43,908.14 and 103,616.67

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Solution

The third proportional to 43,908.14 and 103,616.67 is: 244,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,908.14 : 103,616.67 = 103,616.67 : x
  2. Step 2: Convert to fraction form
    43,908.14/103,616.67 = 103,616.67/x
  3. Step 3: Cross multiply
    43,908.14x = 103,616.67 × 103,616.67
  4. Step 4: Simplify right side
    43,908.14x = 10,736,414,690.45
  5. Step 5: Solve for x
    x = 10,736,414,690.45/43,908.14
  6. Step 6: Final answer
    x = 244,519.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.