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Finding the Third Proportional to 200,012,694.75 and 300,551,550.75

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Solution

The third proportional to 200,012,694.75 and 300,551,550.75 is: 451,627,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,694.75 : 300,551,550.75 = 300,551,550.75 : x
  2. Step 2: Convert to fraction form
    200,012,694.75/300,551,550.75 = 300,551,550.75/x
  3. Step 3: Cross multiply
    200,012,694.75x = 300,551,550.75 × 300,551,550.75
  4. Step 4: Simplify right side
    200,012,694.75x = 90,331,234,658,229,824
  5. Step 5: Solve for x
    x = 90,331,234,658,229,824/200,012,694.75
  6. Step 6: Final answer
    x = 451,627,506.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.