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Finding the Third Proportional to 45,701.91 and 101,906.34

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Solution

The third proportional to 45,701.91 and 101,906.34 is: 227,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,701.91 : 101,906.34 = 101,906.34 : x
  2. Step 2: Convert to fraction form
    45,701.91/101,906.34 = 101,906.34/x
  3. Step 3: Cross multiply
    45,701.91x = 101,906.34 × 101,906.34
  4. Step 4: Simplify right side
    45,701.91x = 10,384,902,896.49
  5. Step 5: Solve for x
    x = 10,384,902,896.49/45,701.91
  6. Step 6: Final answer
    x = 227,231.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.