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Finding the Third Proportional to 54,882,846 and 108,377,676

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Solution

The third proportional to 54,882,846 and 108,377,676 is: 214,014,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882,846 : 108,377,676 = 108,377,676 : x
  2. Step 2: Convert to fraction form
    54,882,846/108,377,676 = 108,377,676/x
  3. Step 3: Cross multiply
    54,882,846x = 108,377,676 × 108,377,676
  4. Step 4: Simplify right side
    54,882,846x = 11,745,720,655,160,976
  5. Step 5: Solve for x
    x = 11,745,720,655,160,976/54,882,846
  6. Step 6: Final answer
    x = 214,014,423.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.