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Finding the Third Proportional to 30,282.19 and 65,193.19

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Solution

The third proportional to 30,282.19 and 65,193.19 is: 140,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.19 : 65,193.19 = 65,193.19 : x
  2. Step 2: Convert to fraction form
    30,282.19/65,193.19 = 65,193.19/x
  3. Step 3: Cross multiply
    30,282.19x = 65,193.19 × 65,193.19
  4. Step 4: Simplify right side
    30,282.19x = 4,250,151,696.41
  5. Step 5: Solve for x
    x = 4,250,151,696.41/30,282.19
  6. Step 6: Final answer
    x = 140,351.54

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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.