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Finding the Third Proportional to 54,945,948 and 108,508,992

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Solution

The third proportional to 54,945,948 and 108,508,992 is: 214,286,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945,948 : 108,508,992 = 108,508,992 : x
  2. Step 2: Convert to fraction form
    54,945,948/108,508,992 = 108,508,992/x
  3. Step 3: Cross multiply
    54,945,948x = 108,508,992 × 108,508,992
  4. Step 4: Simplify right side
    54,945,948x = 11,774,201,344,856,064
  5. Step 5: Solve for x
    x = 11,774,201,344,856,064/54,945,948
  6. Step 6: Final answer
    x = 214,286,981.54

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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.