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Finding the Third Proportional to 43,214 and 94,450

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Solution

The third proportional to 43,214 and 94,450 is: 206,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214 : 94,450 = 94,450 : x
  2. Step 2: Convert to fraction form
    43,214/94,450 = 94,450/x
  3. Step 3: Cross multiply
    43,214x = 94,450 × 94,450
  4. Step 4: Simplify right side
    43,214x = 8,920,802,500
  5. Step 5: Solve for x
    x = 8,920,802,500/43,214
  6. Step 6: Final answer
    x = 206,433.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.