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Finding the Third Proportional to 92,035.50 and 194,679.75

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Solution

The third proportional to 92,035.50 and 194,679.75 is: 411,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,035.50 : 194,679.75 = 194,679.75 : x
  2. Step 2: Convert to fraction form
    92,035.50/194,679.75 = 194,679.75/x
  3. Step 3: Cross multiply
    92,035.50x = 194,679.75 × 194,679.75
  4. Step 4: Simplify right side
    92,035.50x = 37,900,205,060.06
  5. Step 5: Solve for x
    x = 37,900,205,060.06/92,035.50
  6. Step 6: Final answer
    x = 411,799.85

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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.