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Finding the Third Proportional to 96,500.19 and 212,632.75

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Solution

The third proportional to 96,500.19 and 212,632.75 is: 468,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,500.19 : 212,632.75 = 212,632.75 : x
  2. Step 2: Convert to fraction form
    96,500.19/212,632.75 = 212,632.75/x
  3. Step 3: Cross multiply
    96,500.19x = 212,632.75 × 212,632.75
  4. Step 4: Simplify right side
    96,500.19x = 45,212,686,372.56
  5. Step 5: Solve for x
    x = 45,212,686,372.56/96,500.19
  6. Step 6: Final answer
    x = 468,524.34

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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.