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Finding the Third Proportional to 223,958,214 and 347,728,670

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Solution

The third proportional to 223,958,214 and 347,728,670 is: 539,900,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,958,214 : 347,728,670 = 347,728,670 : x
  2. Step 2: Convert to fraction form
    223,958,214/347,728,670 = 347,728,670/x
  3. Step 3: Cross multiply
    223,958,214x = 347,728,670 × 347,728,670
  4. Step 4: Simplify right side
    223,958,214x = 120,915,227,939,968,896
  5. Step 5: Solve for x
    x = 120,915,227,939,968,896/223,958,214
  6. Step 6: Final answer
    x = 539,900,840.34

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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.