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Finding the Third Proportional to 195,571,728 and 414,456,768

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Solution

The third proportional to 195,571,728 and 414,456,768 is: 878,319,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,571,728 : 414,456,768 = 414,456,768 : x
  2. Step 2: Convert to fraction form
    195,571,728/414,456,768 = 414,456,768/x
  3. Step 3: Cross multiply
    195,571,728x = 414,456,768 × 414,456,768
  4. Step 4: Simplify right side
    195,571,728x = 171,774,412,541,005,824
  5. Step 5: Solve for x
    x = 171,774,412,541,005,824/195,571,728
  6. Step 6: Final answer
    x = 878,319,245.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.