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Finding the Third Proportional to 86,599,489.50 and 188,444,388.94

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Solution

The third proportional to 86,599,489.50 and 188,444,388.94 is: 410,063,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,599,489.50 : 188,444,388.94 = 188,444,388.94 : x
  2. Step 2: Convert to fraction form
    86,599,489.50/188,444,388.94 = 188,444,388.94/x
  3. Step 3: Cross multiply
    86,599,489.50x = 188,444,388.94 × 188,444,388.94
  4. Step 4: Simplify right side
    86,599,489.50x = 35,511,287,722,027,772
  5. Step 5: Solve for x
    x = 35,511,287,722,027,772/86,599,489.50
  6. Step 6: Final answer
    x = 410,063,476.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.