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Finding the Third Proportional to 41,889 and 90,338

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Solution

The third proportional to 41,889 and 90,338 is: 194,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,889 : 90,338 = 90,338 : x
  2. Step 2: Convert to fraction form
    41,889/90,338 = 90,338/x
  3. Step 3: Cross multiply
    41,889x = 90,338 × 90,338
  4. Step 4: Simplify right side
    41,889x = 8,160,954,244
  5. Step 5: Solve for x
    x = 8,160,954,244/41,889
  6. Step 6: Final answer
    x = 194,823.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.