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Finding the Third Proportional to 84,200,296 and 181,394,288

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Solution

The third proportional to 84,200,296 and 181,394,288 is: 390,781,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200,296 : 181,394,288 = 181,394,288 : x
  2. Step 2: Convert to fraction form
    84,200,296/181,394,288 = 181,394,288/x
  3. Step 3: Cross multiply
    84,200,296x = 181,394,288 × 181,394,288
  4. Step 4: Simplify right side
    84,200,296x = 32,903,887,719,026,944
  5. Step 5: Solve for x
    x = 32,903,887,719,026,944/84,200,296
  6. Step 6: Final answer
    x = 390,781,140.71

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