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Finding the Third Proportional to 231,163,764 and 339,082,292

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Solution

The third proportional to 231,163,764 and 339,082,292 is: 497,382,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,163,764 : 339,082,292 = 339,082,292 : x
  2. Step 2: Convert to fraction form
    231,163,764/339,082,292 = 339,082,292/x
  3. Step 3: Cross multiply
    231,163,764x = 339,082,292 × 339,082,292
  4. Step 4: Simplify right side
    231,163,764x = 114,976,800,747,973,264
  5. Step 5: Solve for x
    x = 114,976,800,747,973,264/231,163,764
  6. Step 6: Final answer
    x = 497,382,456.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.