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Finding the Third Proportional to 184,217,440 and 397,131,236

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Solution

The third proportional to 184,217,440 and 397,131,236 is: 856,125,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,217,440 : 397,131,236 = 397,131,236 : x
  2. Step 2: Convert to fraction form
    184,217,440/397,131,236 = 397,131,236/x
  3. Step 3: Cross multiply
    184,217,440x = 397,131,236 × 397,131,236
  4. Step 4: Simplify right side
    184,217,440x = 157,713,218,606,887,680
  5. Step 5: Solve for x
    x = 157,713,218,606,887,680/184,217,440
  6. Step 6: Final answer
    x = 856,125,340.83

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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.