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Finding the Third Proportional to 90,326 and 198,628

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Solution

The third proportional to 90,326 and 198,628 is: 436,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,326 : 198,628 = 198,628 : x
  2. Step 2: Convert to fraction form
    90,326/198,628 = 198,628/x
  3. Step 3: Cross multiply
    90,326x = 198,628 × 198,628
  4. Step 4: Simplify right side
    90,326x = 39,453,082,384
  5. Step 5: Solve for x
    x = 39,453,082,384/90,326
  6. Step 6: Final answer
    x = 436,785.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.