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Finding the Third Proportional to 31,433,150.25 and 68,709,843

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Solution

The third proportional to 31,433,150.25 and 68,709,843 is: 150,193,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433,150.25 : 68,709,843 = 68,709,843 : x
  2. Step 2: Convert to fraction form
    31,433,150.25/68,709,843 = 68,709,843/x
  3. Step 3: Cross multiply
    31,433,150.25x = 68,709,843 × 68,709,843
  4. Step 4: Simplify right side
    31,433,150.25x = 4,721,042,525,084,649
  5. Step 5: Solve for x
    x = 4,721,042,525,084,649/31,433,150.25
  6. Step 6: Final answer
    x = 150,193,107.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.