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Finding the Third Proportional to 184,305,796 and 395,963,470

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Solution

The third proportional to 184,305,796 and 395,963,470 is: 850,689,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,305,796 : 395,963,470 = 395,963,470 : x
  2. Step 2: Convert to fraction form
    184,305,796/395,963,470 = 395,963,470/x
  3. Step 3: Cross multiply
    184,305,796x = 395,963,470 × 395,963,470
  4. Step 4: Simplify right side
    184,305,796x = 156,787,069,574,440,896
  5. Step 5: Solve for x
    x = 156,787,069,574,440,896/184,305,796
  6. Step 6: Final answer
    x = 850,689,847.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.