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Finding the Third Proportional to 90,194 and 201,092

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Solution

The third proportional to 90,194 and 201,092 is: 448,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,194 : 201,092 = 201,092 : x
  2. Step 2: Convert to fraction form
    90,194/201,092 = 201,092/x
  3. Step 3: Cross multiply
    90,194x = 201,092 × 201,092
  4. Step 4: Simplify right side
    90,194x = 40,437,992,464
  5. Step 5: Solve for x
    x = 40,437,992,464/90,194
  6. Step 6: Final answer
    x = 448,344.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.