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Finding the Third Proportional to 184,105,584 and 396,904,608

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Solution

The third proportional to 184,105,584 and 396,904,608 is: 855,668,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,105,584 : 396,904,608 = 396,904,608 : x
  2. Step 2: Convert to fraction form
    184,105,584/396,904,608 = 396,904,608/x
  3. Step 3: Cross multiply
    184,105,584x = 396,904,608 × 396,904,608
  4. Step 4: Simplify right side
    184,105,584x = 157,533,267,851,633,664
  5. Step 5: Solve for x
    x = 157,533,267,851,633,664/184,105,584
  6. Step 6: Final answer
    x = 855,668,059.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.