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Finding the Third Proportional to 188,105,469 and 393,362,348

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Solution

The third proportional to 188,105,469 and 393,362,348 is: 822,591,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,105,469 : 393,362,348 = 393,362,348 : x
  2. Step 2: Convert to fraction form
    188,105,469/393,362,348 = 393,362,348/x
  3. Step 3: Cross multiply
    188,105,469x = 393,362,348 × 393,362,348
  4. Step 4: Simplify right side
    188,105,469x = 154,733,936,824,073,088
  5. Step 5: Solve for x
    x = 154,733,936,824,073,088/188,105,469
  6. Step 6: Final answer
    x = 822,591,377.31

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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.