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Finding the Third Proportional to 101,967 and 210,489.50

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Solution

The third proportional to 101,967 and 210,489.50 is: 434,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967 : 210,489.50 = 210,489.50 : x
  2. Step 2: Convert to fraction form
    101,967/210,489.50 = 210,489.50/x
  3. Step 3: Cross multiply
    101,967x = 210,489.50 × 210,489.50
  4. Step 4: Simplify right side
    101,967x = 44,305,829,610.25
  5. Step 5: Solve for x
    x = 44,305,829,610.25/101,967
  6. Step 6: Final answer
    x = 434,511.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.