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Finding the Third Proportional to 43,984.50 and 94,197

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Solution

The third proportional to 43,984.50 and 94,197 is: 201,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,984.50 : 94,197 = 94,197 : x
  2. Step 2: Convert to fraction form
    43,984.50/94,197 = 94,197/x
  3. Step 3: Cross multiply
    43,984.50x = 94,197 × 94,197
  4. Step 4: Simplify right side
    43,984.50x = 8,873,074,809
  5. Step 5: Solve for x
    x = 8,873,074,809/43,984.50
  6. Step 6: Final answer
    x = 201,731.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.