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Finding the Third Proportional to 41,198 and 90,417

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Solution

The third proportional to 41,198 and 90,417 is: 198,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198 : 90,417 = 90,417 : x
  2. Step 2: Convert to fraction form
    41,198/90,417 = 90,417/x
  3. Step 3: Cross multiply
    41,198x = 90,417 × 90,417
  4. Step 4: Simplify right side
    41,198x = 8,175,233,889
  5. Step 5: Solve for x
    x = 8,175,233,889/41,198
  6. Step 6: Final answer
    x = 198,437.64

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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.