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Finding the Third Proportional to 100,699.88 and 219,375

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Solution

The third proportional to 100,699.88 and 219,375 is: 477,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,699.88 : 219,375 = 219,375 : x
  2. Step 2: Convert to fraction form
    100,699.88/219,375 = 219,375/x
  3. Step 3: Cross multiply
    100,699.88x = 219,375 × 219,375
  4. Step 4: Simplify right side
    100,699.88x = 48,125,390,625
  5. Step 5: Solve for x
    x = 48,125,390,625/100,699.88
  6. Step 6: Final answer
    x = 477,909.14

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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.