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Finding the Third Proportional to 90,495 and 198,836

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Solution

The third proportional to 90,495 and 198,836 is: 436,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,495 : 198,836 = 198,836 : x
  2. Step 2: Convert to fraction form
    90,495/198,836 = 198,836/x
  3. Step 3: Cross multiply
    90,495x = 198,836 × 198,836
  4. Step 4: Simplify right side
    90,495x = 39,535,754,896
  5. Step 5: Solve for x
    x = 39,535,754,896/90,495
  6. Step 6: Final answer
    x = 436,883.31

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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.