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Finding the Third Proportional to 89,890 and 199,733.50

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Solution

The third proportional to 89,890 and 199,733.50 is: 443,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,890 : 199,733.50 = 199,733.50 : x
  2. Step 2: Convert to fraction form
    89,890/199,733.50 = 199,733.50/x
  3. Step 3: Cross multiply
    89,890x = 199,733.50 × 199,733.50
  4. Step 4: Simplify right side
    89,890x = 39,893,471,022.25
  5. Step 5: Solve for x
    x = 39,893,471,022.25/89,890
  6. Step 6: Final answer
    x = 443,803.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.