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Finding the Third Proportional to 90,194 and 192,904

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Solution

The third proportional to 90,194 and 192,904 is: 412,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,194 : 192,904 = 192,904 : x
  2. Step 2: Convert to fraction form
    90,194/192,904 = 192,904/x
  3. Step 3: Cross multiply
    90,194x = 192,904 × 192,904
  4. Step 4: Simplify right side
    90,194x = 37,211,953,216
  5. Step 5: Solve for x
    x = 37,211,953,216/90,194
  6. Step 6: Final answer
    x = 412,576.81

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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.