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Finding the Third Proportional to 221,824,958.50 and 344,834,234.25

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Solution

The third proportional to 221,824,958.50 and 344,834,234.25 is: 536,056,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824,958.50 : 344,834,234.25 = 344,834,234.25 : x
  2. Step 2: Convert to fraction form
    221,824,958.50/344,834,234.25 = 344,834,234.25/x
  3. Step 3: Cross multiply
    221,824,958.50x = 344,834,234.25 × 344,834,234.25
  4. Step 4: Simplify right side
    221,824,958.50x = 118,910,649,110,783,872
  5. Step 5: Solve for x
    x = 118,910,649,110,783,872/221,824,958.50
  6. Step 6: Final answer
    x = 536,056,221.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.