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Finding the Third Proportional to 103,681 and 222,050

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Solution

The third proportional to 103,681 and 222,050 is: 475,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 222,050 = 222,050 : x
  2. Step 2: Convert to fraction form
    103,681/222,050 = 222,050/x
  3. Step 3: Cross multiply
    103,681x = 222,050 × 222,050
  4. Step 4: Simplify right side
    103,681x = 49,306,202,500
  5. Step 5: Solve for x
    x = 49,306,202,500/103,681
  6. Step 6: Final answer
    x = 475,556.78

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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.