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Finding the Third Proportional to 53,743,764 and 109,743,324

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Solution

The third proportional to 53,743,764 and 109,743,324 is: 224,092,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,764 : 109,743,324 = 109,743,324 : x
  2. Step 2: Convert to fraction form
    53,743,764/109,743,324 = 109,743,324/x
  3. Step 3: Cross multiply
    53,743,764x = 109,743,324 × 109,743,324
  4. Step 4: Simplify right side
    53,743,764x = 12,043,597,162,568,976
  5. Step 5: Solve for x
    x = 12,043,597,162,568,976/53,743,764
  6. Step 6: Final answer
    x = 224,092,922.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.