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Finding the Third Proportional to 214,112 and 461,110

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Solution

The third proportional to 214,112 and 461,110 is: 993,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,112 : 461,110 = 461,110 : x
  2. Step 2: Convert to fraction form
    214,112/461,110 = 461,110/x
  3. Step 3: Cross multiply
    214,112x = 461,110 × 461,110
  4. Step 4: Simplify right side
    214,112x = 212,622,432,100
  5. Step 5: Solve for x
    x = 212,622,432,100/214,112
  6. Step 6: Final answer
    x = 993,043.04

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