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Finding the Third Proportional to 33,225.19 and 70,201.69

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Solution

The third proportional to 33,225.19 and 70,201.69 is: 148,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.19 : 70,201.69 = 70,201.69 : x
  2. Step 2: Convert to fraction form
    33,225.19/70,201.69 = 70,201.69/x
  3. Step 3: Cross multiply
    33,225.19x = 70,201.69 × 70,201.69
  4. Step 4: Simplify right side
    33,225.19x = 4,928,276,927.85
  5. Step 5: Solve for x
    x = 4,928,276,927.85/33,225.19
  6. Step 6: Final answer
    x = 148,329.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.