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Finding the Third Proportional to 185,310,105 and 395,243,238

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Solution

The third proportional to 185,310,105 and 395,243,238 is: 843,004,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,310,105 : 395,243,238 = 395,243,238 : x
  2. Step 2: Convert to fraction form
    185,310,105/395,243,238 = 395,243,238/x
  3. Step 3: Cross multiply
    185,310,105x = 395,243,238 × 395,243,238
  4. Step 4: Simplify right side
    185,310,105x = 156,217,217,184,724,640
  5. Step 5: Solve for x
    x = 156,217,217,184,724,640/185,310,105
  6. Step 6: Final answer
    x = 843,004,309.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.