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Finding the Third Proportional to 75,678,770 and 166,007,524

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Solution

The third proportional to 75,678,770 and 166,007,524 is: 364,150,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678,770 : 166,007,524 = 166,007,524 : x
  2. Step 2: Convert to fraction form
    75,678,770/166,007,524 = 166,007,524/x
  3. Step 3: Cross multiply
    75,678,770x = 166,007,524 × 166,007,524
  4. Step 4: Simplify right side
    75,678,770x = 27,558,498,024,610,576
  5. Step 5: Solve for x
    x = 27,558,498,024,610,576/75,678,770
  6. Step 6: Final answer
    x = 364,150,976.88

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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.