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Finding the Third Proportional to 40,294.50 and 88,629

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Solution

The third proportional to 40,294.50 and 88,629 is: 194,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,294.50 : 88,629 = 88,629 : x
  2. Step 2: Convert to fraction form
    40,294.50/88,629 = 88,629/x
  3. Step 3: Cross multiply
    40,294.50x = 88,629 × 88,629
  4. Step 4: Simplify right side
    40,294.50x = 7,855,099,641
  5. Step 5: Solve for x
    x = 7,855,099,641/40,294.50
  6. Step 6: Final answer
    x = 194,942.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.