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Finding the Third Proportional to 184,217,446 and 397,131,248

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Solution

The third proportional to 184,217,446 and 397,131,248 is: 856,125,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,217,446 : 397,131,248 = 397,131,248 : x
  2. Step 2: Convert to fraction form
    184,217,446/397,131,248 = 397,131,248/x
  3. Step 3: Cross multiply
    184,217,446x = 397,131,248 × 397,131,248
  4. Step 4: Simplify right side
    184,217,446x = 157,713,228,138,037,504
  5. Step 5: Solve for x
    x = 157,713,228,138,037,504/184,217,446
  6. Step 6: Final answer
    x = 856,125,364.68

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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.