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Finding the Third Proportional to 106,366.50 and 218,214

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Solution

The third proportional to 106,366.50 and 218,214 is: 447,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,366.50 : 218,214 = 218,214 : x
  2. Step 2: Convert to fraction form
    106,366.50/218,214 = 218,214/x
  3. Step 3: Cross multiply
    106,366.50x = 218,214 × 218,214
  4. Step 4: Simplify right side
    106,366.50x = 47,617,349,796
  5. Step 5: Solve for x
    x = 47,617,349,796/106,366.50
  6. Step 6: Final answer
    x = 447,672.43

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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.