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Finding the Third Proportional to 214,680,186 and 471,534,912

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Solution

The third proportional to 214,680,186 and 471,534,912 is: 1,035,704,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,680,186 : 471,534,912 = 471,534,912 : x
  2. Step 2: Convert to fraction form
    214,680,186/471,534,912 = 471,534,912/x
  3. Step 3: Cross multiply
    214,680,186x = 471,534,912 × 471,534,912
  4. Step 4: Simplify right side
    214,680,186x = 222,345,173,234,847,744
  5. Step 5: Solve for x
    x = 222,345,173,234,847,744/214,680,186
  6. Step 6: Final answer
    x = 1,035,704,213.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.