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Finding the Third Proportional to 84,086,100 and 182,448,936

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Solution

The third proportional to 84,086,100 and 182,448,936 is: 395,875,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,086,100 : 182,448,936 = 182,448,936 : x
  2. Step 2: Convert to fraction form
    84,086,100/182,448,936 = 182,448,936/x
  3. Step 3: Cross multiply
    84,086,100x = 182,448,936 × 182,448,936
  4. Step 4: Simplify right side
    84,086,100x = 33,287,614,247,532,096
  5. Step 5: Solve for x
    x = 33,287,614,247,532,096/84,086,100
  6. Step 6: Final answer
    x = 395,875,349.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.