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Finding the Third Proportional to 30,802.22 and 66,205.69

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Solution

The third proportional to 30,802.22 and 66,205.69 is: 142,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.22 : 66,205.69 = 66,205.69 : x
  2. Step 2: Convert to fraction form
    30,802.22/66,205.69 = 66,205.69/x
  3. Step 3: Cross multiply
    30,802.22x = 66,205.69 × 66,205.69
  4. Step 4: Simplify right side
    30,802.22x = 4,383,193,057.35
  5. Step 5: Solve for x
    x = 4,383,193,057.35/30,802.22
  6. Step 6: Final answer
    x = 142,301.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.