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Finding the Third Proportional to 184,347,534 and 394,989,694

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Solution

The third proportional to 184,347,534 and 394,989,694 is: 846,319,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,347,534 : 394,989,694 = 394,989,694 : x
  2. Step 2: Convert to fraction form
    184,347,534/394,989,694 = 394,989,694/x
  3. Step 3: Cross multiply
    184,347,534x = 394,989,694 × 394,989,694
  4. Step 4: Simplify right side
    184,347,534x = 156,016,858,366,213,632
  5. Step 5: Solve for x
    x = 156,016,858,366,213,632/184,347,534
  6. Step 6: Final answer
    x = 846,319,204.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.