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Finding the Third Proportional to 150,445,224 and 327,598,907

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Solution

The third proportional to 150,445,224 and 327,598,907 is: 713,356,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,445,224 : 327,598,907 = 327,598,907 : x
  2. Step 2: Convert to fraction form
    150,445,224/327,598,907 = 327,598,907/x
  3. Step 3: Cross multiply
    150,445,224x = 327,598,907 × 327,598,907
  4. Step 4: Simplify right side
    150,445,224x = 107,321,043,867,594,656
  5. Step 5: Solve for x
    x = 107,321,043,867,594,656/150,445,224
  6. Step 6: Final answer
    x = 713,356,270.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.