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Finding the Third Proportional to 94,540.50 and 199,407

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Solution

The third proportional to 94,540.50 and 199,407 is: 420,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540.50 : 199,407 = 199,407 : x
  2. Step 2: Convert to fraction form
    94,540.50/199,407 = 199,407/x
  3. Step 3: Cross multiply
    94,540.50x = 199,407 × 199,407
  4. Step 4: Simplify right side
    94,540.50x = 39,763,151,649
  5. Step 5: Solve for x
    x = 39,763,151,649/94,540.50
  6. Step 6: Final answer
    x = 420,593.84

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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.