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Finding the Third Proportional to 162,393,281,667 and 338,150,843,487

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Solution

The third proportional to 162,393,281,667 and 338,150,843,487 is: 704,130,071,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,393,281,667 : 338,150,843,487 = 338,150,843,487 : x
  2. Step 2: Convert to fraction form
    162,393,281,667/338,150,843,487 = 338,150,843,487/x
  3. Step 3: Cross multiply
    162,393,281,667x = 338,150,843,487 × 338,150,843,487
  4. Step 4: Simplify right side
    162,393,281,667x = 114,345,992,950,969,576,456,192
  5. Step 5: Solve for x
    x = 114,345,992,950,969,576,456,192/162,393,281,667
  6. Step 6: Final answer
    x = 704,130,071,005.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.