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Finding the Third Proportional to 184,305,844.50 and 395,963,545.50

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Solution

The third proportional to 184,305,844.50 and 395,963,545.50 is: 850,689,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,305,844.50 : 395,963,545.50 = 395,963,545.50 : x
  2. Step 2: Convert to fraction form
    184,305,844.50/395,963,545.50 = 395,963,545.50/x
  3. Step 3: Cross multiply
    184,305,844.50x = 395,963,545.50 × 395,963,545.50
  4. Step 4: Simplify right side
    184,305,844.50x = 156,787,129,364,930,560
  5. Step 5: Solve for x
    x = 156,787,129,364,930,560/184,305,844.50
  6. Step 6: Final answer
    x = 850,689,948.49

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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.