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Finding the Third Proportional to 105,651.84 and 216,163.69

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Solution

The third proportional to 105,651.84 and 216,163.69 is: 442,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,651.84 : 216,163.69 = 216,163.69 : x
  2. Step 2: Convert to fraction form
    105,651.84/216,163.69 = 216,163.69/x
  3. Step 3: Cross multiply
    105,651.84x = 216,163.69 × 216,163.69
  4. Step 4: Simplify right side
    105,651.84x = 46,726,739,793.60
  5. Step 5: Solve for x
    x = 46,726,739,793.60/105,651.84
  6. Step 6: Final answer
    x = 442,270.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.