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Finding the Third Proportional to 90,936 and 196,341

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Solution

The third proportional to 90,936 and 196,341 is: 423,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,936 : 196,341 = 196,341 : x
  2. Step 2: Convert to fraction form
    90,936/196,341 = 196,341/x
  3. Step 3: Cross multiply
    90,936x = 196,341 × 196,341
  4. Step 4: Simplify right side
    90,936x = 38,549,788,281
  5. Step 5: Solve for x
    x = 38,549,788,281/90,936
  6. Step 6: Final answer
    x = 423,922.19

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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.