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Finding the Third Proportional to 192,105 and 420,963.75

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Solution

The third proportional to 192,105 and 420,963.75 is: 922,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,105 : 420,963.75 = 420,963.75 : x
  2. Step 2: Convert to fraction form
    192,105/420,963.75 = 420,963.75/x
  3. Step 3: Cross multiply
    192,105x = 420,963.75 × 420,963.75
  4. Step 4: Simplify right side
    192,105x = 177,210,478,814.06
  5. Step 5: Solve for x
    x = 177,210,478,814.06/192,105
  6. Step 6: Final answer
    x = 922,466.77

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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.