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Finding the Third Proportional to 90,553.50 and 196,665.75

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Solution

The third proportional to 90,553.50 and 196,665.75 is: 427,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,553.50 : 196,665.75 = 196,665.75 : x
  2. Step 2: Convert to fraction form
    90,553.50/196,665.75 = 196,665.75/x
  3. Step 3: Cross multiply
    90,553.50x = 196,665.75 × 196,665.75
  4. Step 4: Simplify right side
    90,553.50x = 38,677,417,223.06
  5. Step 5: Solve for x
    x = 38,677,417,223.06/90,553.50
  6. Step 6: Final answer
    x = 427,122.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.