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Finding the Third Proportional to 222,504,421.50 and 327,323,693.25

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Solution

The third proportional to 222,504,421.50 and 327,323,693.25 is: 481,522,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,504,421.50 : 327,323,693.25 = 327,323,693.25 : x
  2. Step 2: Convert to fraction form
    222,504,421.50/327,323,693.25 = 327,323,693.25/x
  3. Step 3: Cross multiply
    222,504,421.50x = 327,323,693.25 × 327,323,693.25
  4. Step 4: Simplify right side
    222,504,421.50x = 107,140,800,162,820,096
  5. Step 5: Solve for x
    x = 107,140,800,162,820,096/222,504,421.50
  6. Step 6: Final answer
    x = 481,522,117.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.