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Finding the Third Proportional to 230,859,676,414.12 and 496,462,940,286.75

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Solution

The third proportional to 230,859,676,414.12 and 496,462,940,286.75 is: 1,067,641,845,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,859,676,414.12 : 496,462,940,286.75 = 496,462,940,286.75 : x
  2. Step 2: Convert to fraction form
    230,859,676,414.12/496,462,940,286.75 = 496,462,940,286.75/x
  3. Step 3: Cross multiply
    230,859,676,414.12x = 496,462,940,286.75 × 496,462,940,286.75
  4. Step 4: Simplify right side
    230,859,676,414.12x = 246,475,451,078,165,082,931,200
  5. Step 5: Solve for x
    x = 246,475,451,078,165,082,931,200/230,859,676,414.12
  6. Step 6: Final answer
    x = 1,067,641,845,932.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.