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Finding the Third Proportional to 106,404 and 217,668

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Solution

The third proportional to 106,404 and 217,668 is: 445,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404 : 217,668 = 217,668 : x
  2. Step 2: Convert to fraction form
    106,404/217,668 = 217,668/x
  3. Step 3: Cross multiply
    106,404x = 217,668 × 217,668
  4. Step 4: Simplify right side
    106,404x = 47,379,358,224
  5. Step 5: Solve for x
    x = 47,379,358,224/106,404
  6. Step 6: Final answer
    x = 445,277.98

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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.