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Finding the Third Proportional to 47,456,998 and 102,067,916

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Solution

The third proportional to 47,456,998 and 102,067,916 is: 219,522,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,456,998 : 102,067,916 = 102,067,916 : x
  2. Step 2: Convert to fraction form
    47,456,998/102,067,916 = 102,067,916/x
  3. Step 3: Cross multiply
    47,456,998x = 102,067,916 × 102,067,916
  4. Step 4: Simplify right side
    47,456,998x = 10,417,859,476,583,056
  5. Step 5: Solve for x
    x = 10,417,859,476,583,056/47,456,998
  6. Step 6: Final answer
    x = 219,522,091.91

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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.