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Finding the Third Proportional to 139,963,977 and 197,014,234.50

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Solution

The third proportional to 139,963,977 and 197,014,234.50 is: 277,318,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,963,977 : 197,014,234.50 = 197,014,234.50 : x
  2. Step 2: Convert to fraction form
    139,963,977/197,014,234.50 = 197,014,234.50/x
  3. Step 3: Cross multiply
    139,963,977x = 197,014,234.50 × 197,014,234.50
  4. Step 4: Simplify right side
    139,963,977x = 38,814,608,595,620,992
  5. Step 5: Solve for x
    x = 38,814,608,595,620,992/139,963,977
  6. Step 6: Final answer
    x = 277,318,560.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.