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Finding the Third Proportional to 49,969,348 and 120,378,176

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Solution

The third proportional to 49,969,348 and 120,378,176 is: 289,995,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969,348 : 120,378,176 = 120,378,176 : x
  2. Step 2: Convert to fraction form
    49,969,348/120,378,176 = 120,378,176/x
  3. Step 3: Cross multiply
    49,969,348x = 120,378,176 × 120,378,176
  4. Step 4: Simplify right side
    49,969,348x = 14,490,905,257,086,976
  5. Step 5: Solve for x
    x = 14,490,905,257,086,976/49,969,348
  6. Step 6: Final answer
    x = 289,995,884.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.