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Finding the Third Proportional to 91,824.75 and 194,679

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Solution

The third proportional to 91,824.75 and 194,679 is: 412,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,824.75 : 194,679 = 194,679 : x
  2. Step 2: Convert to fraction form
    91,824.75/194,679 = 194,679/x
  3. Step 3: Cross multiply
    91,824.75x = 194,679 × 194,679
  4. Step 4: Simplify right side
    91,824.75x = 37,899,913,041
  5. Step 5: Solve for x
    x = 37,899,913,041/91,824.75
  6. Step 6: Final answer
    x = 412,741.80

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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.