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Finding the Third Proportional to 94,836 and 192,399

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Solution

The third proportional to 94,836 and 192,399 is: 390,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,836 : 192,399 = 192,399 : x
  2. Step 2: Convert to fraction form
    94,836/192,399 = 192,399/x
  3. Step 3: Cross multiply
    94,836x = 192,399 × 192,399
  4. Step 4: Simplify right side
    94,836x = 37,017,375,201
  5. Step 5: Solve for x
    x = 37,017,375,201/94,836
  6. Step 6: Final answer
    x = 390,330.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.