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Finding the Third Proportional to 88,483 and 194,462

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Solution

The third proportional to 88,483 and 194,462 is: 427,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,483 : 194,462 = 194,462 : x
  2. Step 2: Convert to fraction form
    88,483/194,462 = 194,462/x
  3. Step 3: Cross multiply
    88,483x = 194,462 × 194,462
  4. Step 4: Simplify right side
    88,483x = 37,815,469,444
  5. Step 5: Solve for x
    x = 37,815,469,444/88,483
  6. Step 6: Final answer
    x = 427,375.53

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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.