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Finding the Third Proportional to 200,124.19 and 439,183.69

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Solution

The third proportional to 200,124.19 and 439,183.69 is: 963,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124.19 : 439,183.69 = 439,183.69 : x
  2. Step 2: Convert to fraction form
    200,124.19/439,183.69 = 439,183.69/x
  3. Step 3: Cross multiply
    200,124.19x = 439,183.69 × 439,183.69
  4. Step 4: Simplify right side
    200,124.19x = 192,882,311,366.10
  5. Step 5: Solve for x
    x = 192,882,311,366.10/200,124.19
  6. Step 6: Final answer
    x = 963,813.09

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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.