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Finding the Third Proportional to 193,122.98 and 419,493.30

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Solution

The third proportional to 193,122.98 and 419,493.30 is: 911,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,122.98 : 419,493.30 = 419,493.30 : x
  2. Step 2: Convert to fraction form
    193,122.98/419,493.30 = 419,493.30/x
  3. Step 3: Cross multiply
    193,122.98x = 419,493.30 × 419,493.30
  4. Step 4: Simplify right side
    193,122.98x = 175,974,632,677.64
  5. Step 5: Solve for x
    x = 175,974,632,677.64/193,122.98
  6. Step 6: Final answer
    x = 911,205.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.