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Finding the Third Proportional to 120,313,161 and 178,284,846

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Solution

The third proportional to 120,313,161 and 178,284,846 is: 264,189,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,313,161 : 178,284,846 = 178,284,846 : x
  2. Step 2: Convert to fraction form
    120,313,161/178,284,846 = 178,284,846/x
  3. Step 3: Cross multiply
    120,313,161x = 178,284,846 × 178,284,846
  4. Step 4: Simplify right side
    120,313,161x = 31,785,486,313,243,716
  5. Step 5: Solve for x
    x = 31,785,486,313,243,716/120,313,161
  6. Step 6: Final answer
    x = 264,189,603.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.