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Finding the Third Proportional to 91,610 and 194,452

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Solution

The third proportional to 91,610 and 194,452 is: 412,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,610 : 194,452 = 194,452 : x
  2. Step 2: Convert to fraction form
    91,610/194,452 = 194,452/x
  3. Step 3: Cross multiply
    91,610x = 194,452 × 194,452
  4. Step 4: Simplify right side
    91,610x = 37,811,580,304
  5. Step 5: Solve for x
    x = 37,811,580,304/91,610
  6. Step 6: Final answer
    x = 412,745.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.