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Finding the Third Proportional to 43,951.50 and 96,232.50

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Solution

The third proportional to 43,951.50 and 96,232.50 is: 210,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,951.50 : 96,232.50 = 96,232.50 : x
  2. Step 2: Convert to fraction form
    43,951.50/96,232.50 = 96,232.50/x
  3. Step 3: Cross multiply
    43,951.50x = 96,232.50 × 96,232.50
  4. Step 4: Simplify right side
    43,951.50x = 9,260,694,056.25
  5. Step 5: Solve for x
    x = 9,260,694,056.25/43,951.50
  6. Step 6: Final answer
    x = 210,702.57

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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.