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Finding the Third Proportional to 89,155 and 195,805

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Solution

The third proportional to 89,155 and 195,805 is: 430,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,155 : 195,805 = 195,805 : x
  2. Step 2: Convert to fraction form
    89,155/195,805 = 195,805/x
  3. Step 3: Cross multiply
    89,155x = 195,805 × 195,805
  4. Step 4: Simplify right side
    89,155x = 38,339,598,025
  5. Step 5: Solve for x
    x = 38,339,598,025/89,155
  6. Step 6: Final answer
    x = 430,033.07

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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.