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Finding the Third Proportional to 101,190 and 222,062

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Solution

The third proportional to 101,190 and 222,062 is: 487,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,190 : 222,062 = 222,062 : x
  2. Step 2: Convert to fraction form
    101,190/222,062 = 222,062/x
  3. Step 3: Cross multiply
    101,190x = 222,062 × 222,062
  4. Step 4: Simplify right side
    101,190x = 49,311,531,844
  5. Step 5: Solve for x
    x = 49,311,531,844/101,190
  6. Step 6: Final answer
    x = 487,316.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.