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Finding the Third Proportional to 174,816,763 and 262,160,950

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Solution

The third proportional to 174,816,763 and 262,160,950 is: 393,145,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,816,763 : 262,160,950 = 262,160,950 : x
  2. Step 2: Convert to fraction form
    174,816,763/262,160,950 = 262,160,950/x
  3. Step 3: Cross multiply
    174,816,763x = 262,160,950 × 262,160,950
  4. Step 4: Simplify right side
    174,816,763x = 68,728,363,704,902,496
  5. Step 5: Solve for x
    x = 68,728,363,704,902,496/174,816,763
  6. Step 6: Final answer
    x = 393,145,156.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.