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Finding the Third Proportional to 91,844 and 194,712

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Solution

The third proportional to 91,844 and 194,712 is: 412,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,844 : 194,712 = 194,712 : x
  2. Step 2: Convert to fraction form
    91,844/194,712 = 194,712/x
  3. Step 3: Cross multiply
    91,844x = 194,712 × 194,712
  4. Step 4: Simplify right side
    91,844x = 37,912,762,944
  5. Step 5: Solve for x
    x = 37,912,762,944/91,844
  6. Step 6: Final answer
    x = 412,795.21

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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.