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Finding the Third Proportional to 89,244 and 194,465.25

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Solution

The third proportional to 89,244 and 194,465.25 is: 423,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,244 : 194,465.25 = 194,465.25 : x
  2. Step 2: Convert to fraction form
    89,244/194,465.25 = 194,465.25/x
  3. Step 3: Cross multiply
    89,244x = 194,465.25 × 194,465.25
  4. Step 4: Simplify right side
    89,244x = 37,816,733,457.56
  5. Step 5: Solve for x
    x = 37,816,733,457.56/89,244
  6. Step 6: Final answer
    x = 423,745.39

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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.