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Finding the Third Proportional to 90,477 and 198,799.31

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Solution

The third proportional to 90,477 and 198,799.31 is: 436,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477 : 198,799.31 = 198,799.31 : x
  2. Step 2: Convert to fraction form
    90,477/198,799.31 = 198,799.31/x
  3. Step 3: Cross multiply
    90,477x = 198,799.31 × 198,799.31
  4. Step 4: Simplify right side
    90,477x = 39,521,166,650.47
  5. Step 5: Solve for x
    x = 39,521,166,650.47/90,477
  6. Step 6: Final answer
    x = 436,808.99

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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.