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Finding the Third Proportional to 89,750 and 188,968

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Solution

The third proportional to 89,750 and 188,968 is: 397,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,750 : 188,968 = 188,968 : x
  2. Step 2: Convert to fraction form
    89,750/188,968 = 188,968/x
  3. Step 3: Cross multiply
    89,750x = 188,968 × 188,968
  4. Step 4: Simplify right side
    89,750x = 35,708,905,024
  5. Step 5: Solve for x
    x = 35,708,905,024/89,750
  6. Step 6: Final answer
    x = 397,870.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.