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Finding the Third Proportional to 223,958,224 and 347,728,686

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Solution

The third proportional to 223,958,224 and 347,728,686 is: 539,900,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,958,224 : 347,728,686 = 347,728,686 : x
  2. Step 2: Convert to fraction form
    223,958,224/347,728,686 = 347,728,686/x
  3. Step 3: Cross multiply
    223,958,224x = 347,728,686 × 347,728,686
  4. Step 4: Simplify right side
    223,958,224x = 120,915,239,067,286,592
  5. Step 5: Solve for x
    x = 120,915,239,067,286,592/223,958,224
  6. Step 6: Final answer
    x = 539,900,865.92

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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.