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Finding the Third Proportional to 98,611.50 and 215,883

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Solution

The third proportional to 98,611.50 and 215,883 is: 472,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,611.50 : 215,883 = 215,883 : x
  2. Step 2: Convert to fraction form
    98,611.50/215,883 = 215,883/x
  3. Step 3: Cross multiply
    98,611.50x = 215,883 × 215,883
  4. Step 4: Simplify right side
    98,611.50x = 46,605,469,689
  5. Step 5: Solve for x
    x = 46,605,469,689/98,611.50
  6. Step 6: Final answer
    x = 472,616.98

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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.