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Finding the Third Proportional to 107,285,733 and 231,722,736

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Solution

The third proportional to 107,285,733 and 231,722,736 is: 500,489,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,733 : 231,722,736 = 231,722,736 : x
  2. Step 2: Convert to fraction form
    107,285,733/231,722,736 = 231,722,736/x
  3. Step 3: Cross multiply
    107,285,733x = 231,722,736 × 231,722,736
  4. Step 4: Simplify right side
    107,285,733x = 53,695,426,379,325,696
  5. Step 5: Solve for x
    x = 53,695,426,379,325,696/107,285,733
  6. Step 6: Final answer
    x = 500,489,905.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.