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Finding the Third Proportional to 184,217,442 and 397,131,240

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Solution

The third proportional to 184,217,442 and 397,131,240 is: 856,125,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,217,442 : 397,131,240 = 397,131,240 : x
  2. Step 2: Convert to fraction form
    184,217,442/397,131,240 = 397,131,240/x
  3. Step 3: Cross multiply
    184,217,442x = 397,131,240 × 397,131,240
  4. Step 4: Simplify right side
    184,217,442x = 157,713,221,783,937,600
  5. Step 5: Solve for x
    x = 157,713,221,783,937,600/184,217,442
  6. Step 6: Final answer
    x = 856,125,348.78

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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.