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Finding the Third Proportional to 103,902.75 and 222,021

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Solution

The third proportional to 103,902.75 and 222,021 is: 474,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,902.75 : 222,021 = 222,021 : x
  2. Step 2: Convert to fraction form
    103,902.75/222,021 = 222,021/x
  3. Step 3: Cross multiply
    103,902.75x = 222,021 × 222,021
  4. Step 4: Simplify right side
    103,902.75x = 49,293,324,441
  5. Step 5: Solve for x
    x = 49,293,324,441/103,902.75
  6. Step 6: Final answer
    x = 474,417.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.