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Finding the Third Proportional to 192,068.44 and 414,910.69

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Solution

The third proportional to 192,068.44 and 414,910.69 is: 896,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,068.44 : 414,910.69 = 414,910.69 : x
  2. Step 2: Convert to fraction form
    192,068.44/414,910.69 = 414,910.69/x
  3. Step 3: Cross multiply
    192,068.44x = 414,910.69 × 414,910.69
  4. Step 4: Simplify right side
    192,068.44x = 172,150,878,601.72
  5. Step 5: Solve for x
    x = 172,150,878,601.72/192,068.44
  6. Step 6: Final answer
    x = 896,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.