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Finding the Third Proportional to 101,962 and 222,356

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Solution

The third proportional to 101,962 and 222,356 is: 484,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962 : 222,356 = 222,356 : x
  2. Step 2: Convert to fraction form
    101,962/222,356 = 222,356/x
  3. Step 3: Cross multiply
    101,962x = 222,356 × 222,356
  4. Step 4: Simplify right side
    101,962x = 49,442,190,736
  5. Step 5: Solve for x
    x = 49,442,190,736/101,962
  6. Step 6: Final answer
    x = 484,908.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.