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Finding the Third Proportional to 96,653.25 and 212,928.75

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Solution

The third proportional to 96,653.25 and 212,928.75 is: 469,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,653.25 : 212,928.75 = 212,928.75 : x
  2. Step 2: Convert to fraction form
    96,653.25/212,928.75 = 212,928.75/x
  3. Step 3: Cross multiply
    96,653.25x = 212,928.75 × 212,928.75
  4. Step 4: Simplify right side
    96,653.25x = 45,338,652,576.56
  5. Step 5: Solve for x
    x = 45,338,652,576.56/96,653.25
  6. Step 6: Final answer
    x = 469,085.65

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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.