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Finding the Third Proportional to 96,835.50 and 212,361.75

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Solution

The third proportional to 96,835.50 and 212,361.75 is: 465,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,835.50 : 212,361.75 = 212,361.75 : x
  2. Step 2: Convert to fraction form
    96,835.50/212,361.75 = 212,361.75/x
  3. Step 3: Cross multiply
    96,835.50x = 212,361.75 × 212,361.75
  4. Step 4: Simplify right side
    96,835.50x = 45,097,512,863.06
  5. Step 5: Solve for x
    x = 45,097,512,863.06/96,835.50
  6. Step 6: Final answer
    x = 465,712.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.