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Finding the Third Proportional to 49,803 and 106,194

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Solution

The third proportional to 49,803 and 106,194 is: 226,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803 : 106,194 = 106,194 : x
  2. Step 2: Convert to fraction form
    49,803/106,194 = 106,194/x
  3. Step 3: Cross multiply
    49,803x = 106,194 × 106,194
  4. Step 4: Simplify right side
    49,803x = 11,277,165,636
  5. Step 5: Solve for x
    x = 11,277,165,636/49,803
  6. Step 6: Final answer
    x = 226,435.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.