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Finding the Third Proportional to 89,043.36 and 194,976.18

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Solution

The third proportional to 89,043.36 and 194,976.18 is: 426,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,043.36 : 194,976.18 = 194,976.18 : x
  2. Step 2: Convert to fraction form
    89,043.36/194,976.18 = 194,976.18/x
  3. Step 3: Cross multiply
    89,043.36x = 194,976.18 × 194,976.18
  4. Step 4: Simplify right side
    89,043.36x = 38,015,709,122.28
  5. Step 5: Solve for x
    x = 38,015,709,122.28/89,043.36
  6. Step 6: Final answer
    x = 426,934.78

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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.