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Finding the Third Proportional to 195,179,836 and 410,487,992

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Solution

The third proportional to 195,179,836 and 410,487,992 is: 863,308,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,179,836 : 410,487,992 = 410,487,992 : x
  2. Step 2: Convert to fraction form
    195,179,836/410,487,992 = 410,487,992/x
  3. Step 3: Cross multiply
    195,179,836x = 410,487,992 × 410,487,992
  4. Step 4: Simplify right side
    195,179,836x = 168,500,391,576,192,064
  5. Step 5: Solve for x
    x = 168,500,391,576,192,064/195,179,836
  6. Step 6: Final answer
    x = 863,308,398.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.