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Finding the Third Proportional to 101,910 and 222,330

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Solution

The third proportional to 101,910 and 222,330 is: 485,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910 : 222,330 = 222,330 : x
  2. Step 2: Convert to fraction form
    101,910/222,330 = 222,330/x
  3. Step 3: Cross multiply
    101,910x = 222,330 × 222,330
  4. Step 4: Simplify right side
    101,910x = 49,430,628,900
  5. Step 5: Solve for x
    x = 49,430,628,900/101,910
  6. Step 6: Final answer
    x = 485,041.99

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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.