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Finding the Third Proportional to 214,035.54 and 461,183.63

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Solution

The third proportional to 214,035.54 and 461,183.63 is: 993,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,035.54 : 461,183.63 = 461,183.63 : x
  2. Step 2: Convert to fraction form
    214,035.54/461,183.63 = 461,183.63/x
  3. Step 3: Cross multiply
    214,035.54x = 461,183.63 × 461,183.63
  4. Step 4: Simplify right side
    214,035.54x = 212,690,335,968.14
  5. Step 5: Solve for x
    x = 212,690,335,968.14/214,035.54
  6. Step 6: Final answer
    x = 993,715.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.