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Finding the Third Proportional to 188,105,464.69 and 393,362,340.19

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Solution

The third proportional to 188,105,464.69 and 393,362,340.19 is: 822,591,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,105,464.69 : 393,362,340.19 = 393,362,340.19 : x
  2. Step 2: Convert to fraction form
    188,105,464.69/393,362,340.19 = 393,362,340.19/x
  3. Step 3: Cross multiply
    188,105,464.69x = 393,362,340.19 × 393,362,340.19
  4. Step 4: Simplify right side
    188,105,464.69x = 154,733,930,677,786,464
  5. Step 5: Solve for x
    x = 154,733,930,677,786,464/188,105,464.69
  6. Step 6: Final answer
    x = 822,591,363.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.