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Finding the Third Proportional to 90,453 and 196,995

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Solution

The third proportional to 90,453 and 196,995 is: 429,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 196,995 = 196,995 : x
  2. Step 2: Convert to fraction form
    90,453/196,995 = 196,995/x
  3. Step 3: Cross multiply
    90,453x = 196,995 × 196,995
  4. Step 4: Simplify right side
    90,453x = 38,807,030,025
  5. Step 5: Solve for x
    x = 38,807,030,025/90,453
  6. Step 6: Final answer
    x = 429,029.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.