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Finding the Third Proportional to 76,508,616.75 and 166,006,917.56

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Solution

The third proportional to 76,508,616.75 and 166,006,917.56 is: 360,198,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508,616.75 : 166,006,917.56 = 166,006,917.56 : x
  2. Step 2: Convert to fraction form
    76,508,616.75/166,006,917.56 = 166,006,917.56/x
  3. Step 3: Cross multiply
    76,508,616.75x = 166,006,917.56 × 166,006,917.56
  4. Step 4: Simplify right side
    76,508,616.75x = 27,558,296,678,602,672
  5. Step 5: Solve for x
    x = 27,558,296,678,602,672/76,508,616.75
  6. Step 6: Final answer
    x = 360,198,600.49

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