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Finding the Third Proportional to 73,936,192 and 164,872,608

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Solution

The third proportional to 73,936,192 and 164,872,608 is: 367,654,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,192 : 164,872,608 = 164,872,608 : x
  2. Step 2: Convert to fraction form
    73,936,192/164,872,608 = 164,872,608/x
  3. Step 3: Cross multiply
    73,936,192x = 164,872,608 × 164,872,608
  4. Step 4: Simplify right side
    73,936,192x = 27,182,976,868,721,664
  5. Step 5: Solve for x
    x = 27,182,976,868,721,664/73,936,192
  6. Step 6: Final answer
    x = 367,654,542.84

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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.