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Finding the Third Proportional to 87,548.34 and 191,806.73

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Solution

The third proportional to 87,548.34 and 191,806.73 is: 420,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,548.34 : 191,806.73 = 191,806.73 : x
  2. Step 2: Convert to fraction form
    87,548.34/191,806.73 = 191,806.73/x
  3. Step 3: Cross multiply
    87,548.34x = 191,806.73 × 191,806.73
  4. Step 4: Simplify right side
    87,548.34x = 36,789,823,351.60
  5. Step 5: Solve for x
    x = 36,789,823,351.60/87,548.34
  6. Step 6: Final answer
    x = 420,222.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.