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Finding the Third Proportional to 90,800 and 194,232

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Solution

The third proportional to 90,800 and 194,232 is: 415,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,800 : 194,232 = 194,232 : x
  2. Step 2: Convert to fraction form
    90,800/194,232 = 194,232/x
  3. Step 3: Cross multiply
    90,800x = 194,232 × 194,232
  4. Step 4: Simplify right side
    90,800x = 37,726,069,824
  5. Step 5: Solve for x
    x = 37,726,069,824/90,800
  6. Step 6: Final answer
    x = 415,485.35

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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.