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Finding the Third Proportional to 188,307,472 and 405,470,204

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Solution

The third proportional to 188,307,472 and 405,470,204 is: 873,072,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,307,472 : 405,470,204 = 405,470,204 : x
  2. Step 2: Convert to fraction form
    188,307,472/405,470,204 = 405,470,204/x
  3. Step 3: Cross multiply
    188,307,472x = 405,470,204 × 405,470,204
  4. Step 4: Simplify right side
    188,307,472x = 164,406,086,331,801,600
  5. Step 5: Solve for x
    x = 164,406,086,331,801,600/188,307,472
  6. Step 6: Final answer
    x = 873,072,558.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.