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Finding the Third Proportional to 89,428.50 and 189,515.25

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Solution

The third proportional to 89,428.50 and 189,515.25 is: 401,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,428.50 : 189,515.25 = 189,515.25 : x
  2. Step 2: Convert to fraction form
    89,428.50/189,515.25 = 189,515.25/x
  3. Step 3: Cross multiply
    89,428.50x = 189,515.25 × 189,515.25
  4. Step 4: Simplify right side
    89,428.50x = 35,916,029,982.56
  5. Step 5: Solve for x
    x = 35,916,029,982.56/89,428.50
  6. Step 6: Final answer
    x = 401,617.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.