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Finding the Third Proportional to 106,412 and 222,679

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Solution

The third proportional to 106,412 and 222,679 is: 465,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412 : 222,679 = 222,679 : x
  2. Step 2: Convert to fraction form
    106,412/222,679 = 222,679/x
  3. Step 3: Cross multiply
    106,412x = 222,679 × 222,679
  4. Step 4: Simplify right side
    106,412x = 49,585,937,041
  5. Step 5: Solve for x
    x = 49,585,937,041/106,412
  6. Step 6: Final answer
    x = 465,980.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.