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Finding the Third Proportional to 212,112 and 446,035.50

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Solution

The third proportional to 212,112 and 446,035.50 is: 937,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,112 : 446,035.50 = 446,035.50 : x
  2. Step 2: Convert to fraction form
    212,112/446,035.50 = 446,035.50/x
  3. Step 3: Cross multiply
    212,112x = 446,035.50 × 446,035.50
  4. Step 4: Simplify right side
    212,112x = 198,947,667,260.25
  5. Step 5: Solve for x
    x = 198,947,667,260.25/212,112
  6. Step 6: Final answer
    x = 937,936.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.