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Finding the Third Proportional to 100,997 and 212,642

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Solution

The third proportional to 100,997 and 212,642 is: 447,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997 : 212,642 = 212,642 : x
  2. Step 2: Convert to fraction form
    100,997/212,642 = 212,642/x
  3. Step 3: Cross multiply
    100,997x = 212,642 × 212,642
  4. Step 4: Simplify right side
    100,997x = 45,216,620,164
  5. Step 5: Solve for x
    x = 45,216,620,164/100,997
  6. Step 6: Final answer
    x = 447,702.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.