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Finding the Third Proportional to 94,027.50 and 195,831

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Solution

The third proportional to 94,027.50 and 195,831 is: 407,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,027.50 : 195,831 = 195,831 : x
  2. Step 2: Convert to fraction form
    94,027.50/195,831 = 195,831/x
  3. Step 3: Cross multiply
    94,027.50x = 195,831 × 195,831
  4. Step 4: Simplify right side
    94,027.50x = 38,349,780,561
  5. Step 5: Solve for x
    x = 38,349,780,561/94,027.50
  6. Step 6: Final answer
    x = 407,857.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.