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Finding the Third Proportional to 109,677,333 and 238,234,793.25

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Solution

The third proportional to 109,677,333 and 238,234,793.25 is: 517,479,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,677,333 : 238,234,793.25 = 238,234,793.25 : x
  2. Step 2: Convert to fraction form
    109,677,333/238,234,793.25 = 238,234,793.25/x
  3. Step 3: Cross multiply
    109,677,333x = 238,234,793.25 × 238,234,793.25
  4. Step 4: Simplify right side
    109,677,333x = 56,755,816,714,870,248
  5. Step 5: Solve for x
    x = 56,755,816,714,870,248/109,677,333
  6. Step 6: Final answer
    x = 517,479,912.78

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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.