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Finding the Third Proportional to 101,533.50 and 222,021

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Solution

The third proportional to 101,533.50 and 222,021 is: 485,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,533.50 : 222,021 = 222,021 : x
  2. Step 2: Convert to fraction form
    101,533.50/222,021 = 222,021/x
  3. Step 3: Cross multiply
    101,533.50x = 222,021 × 222,021
  4. Step 4: Simplify right side
    101,533.50x = 49,293,324,441
  5. Step 5: Solve for x
    x = 49,293,324,441/101,533.50
  6. Step 6: Final answer
    x = 485,488.28

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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.