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Finding the Third Proportional to 50,650 and 110,219

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Solution

The third proportional to 50,650 and 110,219 is: 239,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,650 : 110,219 = 110,219 : x
  2. Step 2: Convert to fraction form
    50,650/110,219 = 110,219/x
  3. Step 3: Cross multiply
    50,650x = 110,219 × 110,219
  4. Step 4: Simplify right side
    50,650x = 12,148,227,961
  5. Step 5: Solve for x
    x = 12,148,227,961/50,650
  6. Step 6: Final answer
    x = 239,846.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.