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Finding the Third Proportional to 89,610.05 and 193,219.17

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Solution

The third proportional to 89,610.05 and 193,219.17 is: 416,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,610.05 : 193,219.17 = 193,219.17 : x
  2. Step 2: Convert to fraction form
    89,610.05/193,219.17 = 193,219.17/x
  3. Step 3: Cross multiply
    89,610.05x = 193,219.17 × 193,219.17
  4. Step 4: Simplify right side
    89,610.05x = 37,333,648,380.06
  5. Step 5: Solve for x
    x = 37,333,648,380.06/89,610.05
  6. Step 6: Final answer
    x = 416,623.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.