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Finding the Third Proportional to 73,936,194 and 164,872,612

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Solution

The third proportional to 73,936,194 and 164,872,612 is: 367,654,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,194 : 164,872,612 = 164,872,612 : x
  2. Step 2: Convert to fraction form
    73,936,194/164,872,612 = 164,872,612/x
  3. Step 3: Cross multiply
    73,936,194x = 164,872,612 × 164,872,612
  4. Step 4: Simplify right side
    73,936,194x = 27,182,978,187,702,544
  5. Step 5: Solve for x
    x = 27,182,978,187,702,544/73,936,194
  6. Step 6: Final answer
    x = 367,654,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.