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Finding the Third Proportional to 80,464,297 and 173,792,047

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Solution

The third proportional to 80,464,297 and 173,792,047 is: 375,367,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464,297 : 173,792,047 = 173,792,047 : x
  2. Step 2: Convert to fraction form
    80,464,297/173,792,047 = 173,792,047/x
  3. Step 3: Cross multiply
    80,464,297x = 173,792,047 × 173,792,047
  4. Step 4: Simplify right side
    80,464,297x = 30,203,675,600,450,208
  5. Step 5: Solve for x
    x = 30,203,675,600,450,208/80,464,297
  6. Step 6: Final answer
    x = 375,367,420.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.