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Finding the Third Proportional to 100,811 and 212,014

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Solution

The third proportional to 100,811 and 212,014 is: 445,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811 : 212,014 = 212,014 : x
  2. Step 2: Convert to fraction form
    100,811/212,014 = 212,014/x
  3. Step 3: Cross multiply
    100,811x = 212,014 × 212,014
  4. Step 4: Simplify right side
    100,811x = 44,949,936,196
  5. Step 5: Solve for x
    x = 44,949,936,196/100,811
  6. Step 6: Final answer
    x = 445,883.25

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Why These Related Problems?

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