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Finding the Third Proportional to 177,117,750 and 384,342,048

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Solution

The third proportional to 177,117,750 and 384,342,048 is: 834,014,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,117,750 : 384,342,048 = 384,342,048 : x
  2. Step 2: Convert to fraction form
    177,117,750/384,342,048 = 384,342,048/x
  3. Step 3: Cross multiply
    177,117,750x = 384,342,048 × 384,342,048
  4. Step 4: Simplify right side
    177,117,750x = 147,718,809,860,834,304
  5. Step 5: Solve for x
    x = 147,718,809,860,834,304/177,117,750
  6. Step 6: Final answer
    x = 834,014,715.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.