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Finding the Third Proportional to 99,583.50 and 215,016

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Solution

The third proportional to 99,583.50 and 215,016 is: 464,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,583.50 : 215,016 = 215,016 : x
  2. Step 2: Convert to fraction form
    99,583.50/215,016 = 215,016/x
  3. Step 3: Cross multiply
    99,583.50x = 215,016 × 215,016
  4. Step 4: Simplify right side
    99,583.50x = 46,231,880,256
  5. Step 5: Solve for x
    x = 46,231,880,256/99,583.50
  6. Step 6: Final answer
    x = 464,252.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.