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Finding the Third Proportional to 96,501.50 and 212,635

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Solution

The third proportional to 96,501.50 and 212,635 is: 468,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,501.50 : 212,635 = 212,635 : x
  2. Step 2: Convert to fraction form
    96,501.50/212,635 = 212,635/x
  3. Step 3: Cross multiply
    96,501.50x = 212,635 × 212,635
  4. Step 4: Simplify right side
    96,501.50x = 45,213,643,225
  5. Step 5: Solve for x
    x = 45,213,643,225/96,501.50
  6. Step 6: Final answer
    x = 468,527.88

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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.