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Finding the Third Proportional to 101,904 and 222,000

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Solution

The third proportional to 101,904 and 222,000 is: 483,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904 : 222,000 = 222,000 : x
  2. Step 2: Convert to fraction form
    101,904/222,000 = 222,000/x
  3. Step 3: Cross multiply
    101,904x = 222,000 × 222,000
  4. Step 4: Simplify right side
    101,904x = 49,284,000,000
  5. Step 5: Solve for x
    x = 49,284,000,000/101,904
  6. Step 6: Final answer
    x = 483,631.65

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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.