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Finding the Third Proportional to 49,803 and 104,223

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Solution

The third proportional to 49,803 and 104,223 is: 218,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803 : 104,223 = 104,223 : x
  2. Step 2: Convert to fraction form
    49,803/104,223 = 104,223/x
  3. Step 3: Cross multiply
    49,803x = 104,223 × 104,223
  4. Step 4: Simplify right side
    49,803x = 10,862,433,729
  5. Step 5: Solve for x
    x = 10,862,433,729/49,803
  6. Step 6: Final answer
    x = 218,108.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.