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Finding the Third Proportional to 105,481.69 and 214,880.06

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Solution

The third proportional to 105,481.69 and 214,880.06 is: 437,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,481.69 : 214,880.06 = 214,880.06 : x
  2. Step 2: Convert to fraction form
    105,481.69/214,880.06 = 214,880.06/x
  3. Step 3: Cross multiply
    105,481.69x = 214,880.06 × 214,880.06
  4. Step 4: Simplify right side
    105,481.69x = 46,173,441,260.00
  5. Step 5: Solve for x
    x = 46,173,441,260.00/105,481.69
  6. Step 6: Final answer
    x = 437,738.93

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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.