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Finding the Third Proportional to 75,850,536.38 and 166,464,917.44

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Solution

The third proportional to 75,850,536.38 and 166,464,917.44 is: 365,331,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850,536.38 : 166,464,917.44 = 166,464,917.44 : x
  2. Step 2: Convert to fraction form
    75,850,536.38/166,464,917.44 = 166,464,917.44/x
  3. Step 3: Cross multiply
    75,850,536.38x = 166,464,917.44 × 166,464,917.44
  4. Step 4: Simplify right side
    75,850,536.38x = 27,710,568,737,473,692
  5. Step 5: Solve for x
    x = 27,710,568,737,473,692/75,850,536.38
  6. Step 6: Final answer
    x = 365,331,216.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.