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Finding the Third Proportional to 100,755 and 211,848

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Solution

The third proportional to 100,755 and 211,848 is: 445,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,755 : 211,848 = 211,848 : x
  2. Step 2: Convert to fraction form
    100,755/211,848 = 211,848/x
  3. Step 3: Cross multiply
    100,755x = 211,848 × 211,848
  4. Step 4: Simplify right side
    100,755x = 44,879,575,104
  5. Step 5: Solve for x
    x = 44,879,575,104/100,755
  6. Step 6: Final answer
    x = 445,432.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.