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Finding the Third Proportional to 106,770,687.75 and 166,398,379.88

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Solution

The third proportional to 106,770,687.75 and 166,398,379.88 is: 259,326,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770,687.75 : 166,398,379.88 = 166,398,379.88 : x
  2. Step 2: Convert to fraction form
    106,770,687.75/166,398,379.88 = 166,398,379.88/x
  3. Step 3: Cross multiply
    106,770,687.75x = 166,398,379.88 × 166,398,379.88
  4. Step 4: Simplify right side
    106,770,687.75x = 27,688,420,825,024,804
  5. Step 5: Solve for x
    x = 27,688,420,825,024,804/106,770,687.75
  6. Step 6: Final answer
    x = 259,326,051.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.