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Finding the Third Proportional to 43,068 and 96,216

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Solution

The third proportional to 43,068 and 96,216 is: 214,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068 : 96,216 = 96,216 : x
  2. Step 2: Convert to fraction form
    43,068/96,216 = 96,216/x
  3. Step 3: Cross multiply
    43,068x = 96,216 × 96,216
  4. Step 4: Simplify right side
    43,068x = 9,257,518,656
  5. Step 5: Solve for x
    x = 9,257,518,656/43,068
  6. Step 6: Final answer
    x = 214,951.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.