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Finding the Third Proportional to 105,481.50 and 214,880

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Solution

The third proportional to 105,481.50 and 214,880 is: 437,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,481.50 : 214,880 = 214,880 : x
  2. Step 2: Convert to fraction form
    105,481.50/214,880 = 214,880/x
  3. Step 3: Cross multiply
    105,481.50x = 214,880 × 214,880
  4. Step 4: Simplify right side
    105,481.50x = 46,173,414,400
  5. Step 5: Solve for x
    x = 46,173,414,400/105,481.50
  6. Step 6: Final answer
    x = 437,739.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.