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Finding the Third Proportional to 20,098.13 and 44,205.75

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Solution

The third proportional to 20,098.13 and 44,205.75 is: 97,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.13 : 44,205.75 = 44,205.75 : x
  2. Step 2: Convert to fraction form
    20,098.13/44,205.75 = 44,205.75/x
  3. Step 3: Cross multiply
    20,098.13x = 44,205.75 × 44,205.75
  4. Step 4: Simplify right side
    20,098.13x = 1,954,148,333.06
  5. Step 5: Solve for x
    x = 1,954,148,333.06/20,098.13
  6. Step 6: Final answer
    x = 97,230.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.