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Finding the Third Proportional to 251,188,022 and 339,270,605

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Solution

The third proportional to 251,188,022 and 339,270,605 is: 458,240,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,188,022 : 339,270,605 = 339,270,605 : x
  2. Step 2: Convert to fraction form
    251,188,022/339,270,605 = 339,270,605/x
  3. Step 3: Cross multiply
    251,188,022x = 339,270,605 × 339,270,605
  4. Step 4: Simplify right side
    251,188,022x = 115,104,543,417,066,032
  5. Step 5: Solve for x
    x = 115,104,543,417,066,032/251,188,022
  6. Step 6: Final answer
    x = 458,240,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.