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Finding the Third Proportional to 176,978,937,860 and 258,749,393,286

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Solution

The third proportional to 176,978,937,860 and 258,749,393,286 is: 378,300,657,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,978,937,860 : 258,749,393,286 = 258,749,393,286 : x
  2. Step 2: Convert to fraction form
    176,978,937,860/258,749,393,286 = 258,749,393,286/x
  3. Step 3: Cross multiply
    176,978,937,860x = 258,749,393,286 × 258,749,393,286
  4. Step 4: Simplify right side
    176,978,937,860x = 66,951,248,525,873,102,454,784
  5. Step 5: Solve for x
    x = 66,951,248,525,873,102,454,784/176,978,937,860
  6. Step 6: Final answer
    x = 378,300,657,329.27

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