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Finding the Third Proportional to 73,067,832 and 160,599,024

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Solution

The third proportional to 73,067,832 and 160,599,024 is: 352,987,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,067,832 : 160,599,024 = 160,599,024 : x
  2. Step 2: Convert to fraction form
    73,067,832/160,599,024 = 160,599,024/x
  3. Step 3: Cross multiply
    73,067,832x = 160,599,024 × 160,599,024
  4. Step 4: Simplify right side
    73,067,832x = 25,792,046,509,752,576
  5. Step 5: Solve for x
    x = 25,792,046,509,752,576/73,067,832
  6. Step 6: Final answer
    x = 352,987,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.