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Finding the Third Proportional to 54,156,758 and 114,291,314

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Solution

The third proportional to 54,156,758 and 114,291,314 is: 241,198,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,156,758 : 114,291,314 = 114,291,314 : x
  2. Step 2: Convert to fraction form
    54,156,758/114,291,314 = 114,291,314/x
  3. Step 3: Cross multiply
    54,156,758x = 114,291,314 × 114,291,314
  4. Step 4: Simplify right side
    54,156,758x = 13,062,504,455,846,596
  5. Step 5: Solve for x
    x = 13,062,504,455,846,596/54,156,758
  6. Step 6: Final answer
    x = 241,198,050.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.