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Finding the Third Proportional to 184,217,436 and 397,131,228

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Solution

The third proportional to 184,217,436 and 397,131,228 is: 856,125,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,217,436 : 397,131,228 = 397,131,228 : x
  2. Step 2: Convert to fraction form
    184,217,436/397,131,228 = 397,131,228/x
  3. Step 3: Cross multiply
    184,217,436x = 397,131,228 × 397,131,228
  4. Step 4: Simplify right side
    184,217,436x = 157,713,212,252,787,968
  5. Step 5: Solve for x
    x = 157,713,212,252,787,968/184,217,436
  6. Step 6: Final answer
    x = 856,125,324.93

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