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Finding the Third Proportional to 116,615,686 and 269,972,464.50

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Solution

The third proportional to 116,615,686 and 269,972,464.50 is: 625,002,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,615,686 : 269,972,464.50 = 269,972,464.50 : x
  2. Step 2: Convert to fraction form
    116,615,686/269,972,464.50 = 269,972,464.50/x
  3. Step 3: Cross multiply
    116,615,686x = 269,972,464.50 × 269,972,464.50
  4. Step 4: Simplify right side
    116,615,686x = 72,885,131,588,203,760
  5. Step 5: Solve for x
    x = 72,885,131,588,203,760/116,615,686
  6. Step 6: Final answer
    x = 625,002,811.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.