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Finding the Third Proportional to 89,822.46 and 195,591.80

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Solution

The third proportional to 89,822.46 and 195,591.80 is: 425,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.46 : 195,591.80 = 195,591.80 : x
  2. Step 2: Convert to fraction form
    89,822.46/195,591.80 = 195,591.80/x
  3. Step 3: Cross multiply
    89,822.46x = 195,591.80 × 195,591.80
  4. Step 4: Simplify right side
    89,822.46x = 38,256,151,004.79
  5. Step 5: Solve for x
    x = 38,256,151,004.79/89,822.46
  6. Step 6: Final answer
    x = 425,908.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.