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Finding the Third Proportional to 91,815 and 194,652.75

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Solution

The third proportional to 91,815 and 194,652.75 is: 412,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,815 : 194,652.75 = 194,652.75 : x
  2. Step 2: Convert to fraction form
    91,815/194,652.75 = 194,652.75/x
  3. Step 3: Cross multiply
    91,815x = 194,652.75 × 194,652.75
  4. Step 4: Simplify right side
    91,815x = 37,889,693,082.56
  5. Step 5: Solve for x
    x = 37,889,693,082.56/91,815
  6. Step 6: Final answer
    x = 412,674.32

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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.