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Finding the Third Proportional to 78,282,238 and 166,642,172

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Solution

The third proportional to 78,282,238 and 166,642,172 is: 354,737,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282,238 : 166,642,172 = 166,642,172 : x
  2. Step 2: Convert to fraction form
    78,282,238/166,642,172 = 166,642,172/x
  3. Step 3: Cross multiply
    78,282,238x = 166,642,172 × 166,642,172
  4. Step 4: Simplify right side
    78,282,238x = 27,769,613,488,877,584
  5. Step 5: Solve for x
    x = 27,769,613,488,877,584/78,282,238
  6. Step 6: Final answer
    x = 354,737,092.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.