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Finding the Third Proportional to 106,206,086 and 164,025,758

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Solution

The third proportional to 106,206,086 and 164,025,758 is: 253,323,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206,086 : 164,025,758 = 164,025,758 : x
  2. Step 2: Convert to fraction form
    106,206,086/164,025,758 = 164,025,758/x
  3. Step 3: Cross multiply
    106,206,086x = 164,025,758 × 164,025,758
  4. Step 4: Simplify right side
    106,206,086x = 26,904,449,287,474,564
  5. Step 5: Solve for x
    x = 26,904,449,287,474,564/106,206,086
  6. Step 6: Final answer
    x = 253,323,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.