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Finding the Third Proportional to 30,168.94 and 65,010.19

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Solution

The third proportional to 30,168.94 and 65,010.19 is: 140,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.94 : 65,010.19 = 65,010.19 : x
  2. Step 2: Convert to fraction form
    30,168.94/65,010.19 = 65,010.19/x
  3. Step 3: Cross multiply
    30,168.94x = 65,010.19 × 65,010.19
  4. Step 4: Simplify right side
    30,168.94x = 4,226,324,478.79
  5. Step 5: Solve for x
    x = 4,226,324,478.79/30,168.94
  6. Step 6: Final answer
    x = 140,088.61

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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.