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Finding the Third Proportional to 54,471,658.88 and 116,714,403.75

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Solution

The third proportional to 54,471,658.88 and 116,714,403.75 is: 250,079,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471,658.88 : 116,714,403.75 = 116,714,403.75 : x
  2. Step 2: Convert to fraction form
    54,471,658.88/116,714,403.75 = 116,714,403.75/x
  3. Step 3: Cross multiply
    54,471,658.88x = 116,714,403.75 × 116,714,403.75
  4. Step 4: Simplify right side
    54,471,658.88x = 13,622,252,042,718,014
  5. Step 5: Solve for x
    x = 13,622,252,042,718,014/54,471,658.88
  6. Step 6: Final answer
    x = 250,079,625.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.