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Finding the Third Proportional to 90,310 and 193,676

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Solution

The third proportional to 90,310 and 193,676 is: 415,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,310 : 193,676 = 193,676 : x
  2. Step 2: Convert to fraction form
    90,310/193,676 = 193,676/x
  3. Step 3: Cross multiply
    90,310x = 193,676 × 193,676
  4. Step 4: Simplify right side
    90,310x = 37,510,392,976
  5. Step 5: Solve for x
    x = 37,510,392,976/90,310
  6. Step 6: Final answer
    x = 415,351.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.