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Finding the Third Proportional to 51,318,198 and 111,670,710.75

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Solution

The third proportional to 51,318,198 and 111,670,710.75 is: 243,000,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318,198 : 111,670,710.75 = 111,670,710.75 : x
  2. Step 2: Convert to fraction form
    51,318,198/111,670,710.75 = 111,670,710.75/x
  3. Step 3: Cross multiply
    51,318,198x = 111,670,710.75 × 111,670,710.75
  4. Step 4: Simplify right side
    51,318,198x = 12,470,347,639,410,166
  5. Step 5: Solve for x
    x = 12,470,347,639,410,166/51,318,198
  6. Step 6: Final answer
    x = 243,000,497.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.