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Finding the Third Proportional to 184,105,596 and 396,904,632

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Solution

The third proportional to 184,105,596 and 396,904,632 is: 855,668,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,105,596 : 396,904,632 = 396,904,632 : x
  2. Step 2: Convert to fraction form
    184,105,596/396,904,632 = 396,904,632/x
  3. Step 3: Cross multiply
    184,105,596x = 396,904,632 × 396,904,632
  4. Step 4: Simplify right side
    184,105,596x = 157,533,286,903,055,424
  5. Step 5: Solve for x
    x = 157,533,286,903,055,424/184,105,596
  6. Step 6: Final answer
    x = 855,668,107.47

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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.