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Finding the Third Proportional to 184,217,444 and 397,131,244

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Solution

The third proportional to 184,217,444 and 397,131,244 is: 856,125,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,217,444 : 397,131,244 = 397,131,244 : x
  2. Step 2: Convert to fraction form
    184,217,444/397,131,244 = 397,131,244/x
  3. Step 3: Cross multiply
    184,217,444x = 397,131,244 × 397,131,244
  4. Step 4: Simplify right side
    184,217,444x = 157,713,224,960,987,520
  5. Step 5: Solve for x
    x = 157,713,224,960,987,520/184,217,444
  6. Step 6: Final answer
    x = 856,125,356.73

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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.