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Finding the Third Proportional to 31,202.16 and 68,343.84

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Solution

The third proportional to 31,202.16 and 68,343.84 is: 149,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.16 : 68,343.84 = 68,343.84 : x
  2. Step 2: Convert to fraction form
    31,202.16/68,343.84 = 68,343.84/x
  3. Step 3: Cross multiply
    31,202.16x = 68,343.84 × 68,343.84
  4. Step 4: Simplify right side
    31,202.16x = 4,670,880,978.52
  5. Step 5: Solve for x
    x = 4,670,880,978.52/31,202.16
  6. Step 6: Final answer
    x = 149,697.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.