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Finding the Third Proportional to 47,444 and 102,219

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Solution

The third proportional to 47,444 and 102,219 is: 220,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,444 : 102,219 = 102,219 : x
  2. Step 2: Convert to fraction form
    47,444/102,219 = 102,219/x
  3. Step 3: Cross multiply
    47,444x = 102,219 × 102,219
  4. Step 4: Simplify right side
    47,444x = 10,448,723,961
  5. Step 5: Solve for x
    x = 10,448,723,961/47,444
  6. Step 6: Final answer
    x = 220,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.