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Finding the Third Proportional to 41,194 and 90,409

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Solution

The third proportional to 41,194 and 90,409 is: 198,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,194 : 90,409 = 90,409 : x
  2. Step 2: Convert to fraction form
    41,194/90,409 = 90,409/x
  3. Step 3: Cross multiply
    41,194x = 90,409 × 90,409
  4. Step 4: Simplify right side
    41,194x = 8,173,787,281
  5. Step 5: Solve for x
    x = 8,173,787,281/41,194
  6. Step 6: Final answer
    x = 198,421.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.