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Finding the Third Proportional to 31,215.38 and 68,270.34

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Solution

The third proportional to 31,215.38 and 68,270.34 is: 149,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.38 : 68,270.34 = 68,270.34 : x
  2. Step 2: Convert to fraction form
    31,215.38/68,270.34 = 68,270.34/x
  3. Step 3: Cross multiply
    31,215.38x = 68,270.34 × 68,270.34
  4. Step 4: Simplify right side
    31,215.38x = 4,660,839,835.74
  5. Step 5: Solve for x
    x = 4,660,839,835.74/31,215.38
  6. Step 6: Final answer
    x = 149,312.31

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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.