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Finding the Third Proportional to 85,419,364 and 184,275,656

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Solution

The third proportional to 85,419,364 and 184,275,656 is: 397,538,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419,364 : 184,275,656 = 184,275,656 : x
  2. Step 2: Convert to fraction form
    85,419,364/184,275,656 = 184,275,656/x
  3. Step 3: Cross multiply
    85,419,364x = 184,275,656 × 184,275,656
  4. Step 4: Simplify right side
    85,419,364x = 33,957,517,394,230,336
  5. Step 5: Solve for x
    x = 33,957,517,394,230,336/85,419,364
  6. Step 6: Final answer
    x = 397,538,869.46

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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.