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Finding the Third Proportional to 94,208 and 199,322

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Solution

The third proportional to 94,208 and 199,322 is: 421,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,208 : 199,322 = 199,322 : x
  2. Step 2: Convert to fraction form
    94,208/199,322 = 199,322/x
  3. Step 3: Cross multiply
    94,208x = 199,322 × 199,322
  4. Step 4: Simplify right side
    94,208x = 39,729,259,684
  5. Step 5: Solve for x
    x = 39,729,259,684/94,208
  6. Step 6: Final answer
    x = 421,718.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.