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Finding the Third Proportional to 75,678,972 and 166,007,928

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Solution

The third proportional to 75,678,972 and 166,007,928 is: 364,151,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678,972 : 166,007,928 = 166,007,928 : x
  2. Step 2: Convert to fraction form
    75,678,972/166,007,928 = 166,007,928/x
  3. Step 3: Cross multiply
    75,678,972x = 166,007,928 × 166,007,928
  4. Step 4: Simplify right side
    75,678,972x = 27,558,632,158,853,184
  5. Step 5: Solve for x
    x = 27,558,632,158,853,184/75,678,972
  6. Step 6: Final answer
    x = 364,151,777.31

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Why These Related Problems?

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