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Finding the Third Proportional to 49,803 and 104,220

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Solution

The third proportional to 49,803 and 104,220 is: 218,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803 : 104,220 = 104,220 : x
  2. Step 2: Convert to fraction form
    49,803/104,220 = 104,220/x
  3. Step 3: Cross multiply
    49,803x = 104,220 × 104,220
  4. Step 4: Simplify right side
    49,803x = 10,861,808,400
  5. Step 5: Solve for x
    x = 10,861,808,400/49,803
  6. Step 6: Final answer
    x = 218,095.46

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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.