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Finding the Third Proportional to 40,196.25 and 89,910

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Solution

The third proportional to 40,196.25 and 89,910 is: 201,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.25 : 89,910 = 89,910 : x
  2. Step 2: Convert to fraction form
    40,196.25/89,910 = 89,910/x
  3. Step 3: Cross multiply
    40,196.25x = 89,910 × 89,910
  4. Step 4: Simplify right side
    40,196.25x = 8,083,808,100
  5. Step 5: Solve for x
    x = 8,083,808,100/40,196.25
  6. Step 6: Final answer
    x = 201,108.51

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.