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Finding the Third Proportional to 31,157.16 and 68,146.31

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Solution

The third proportional to 31,157.16 and 68,146.31 is: 149,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.16 : 68,146.31 = 68,146.31 : x
  2. Step 2: Convert to fraction form
    31,157.16/68,146.31 = 68,146.31/x
  3. Step 3: Cross multiply
    31,157.16x = 68,146.31 × 68,146.31
  4. Step 4: Simplify right side
    31,157.16x = 4,643,919,907.35
  5. Step 5: Solve for x
    x = 4,643,919,907.35/31,157.16
  6. Step 6: Final answer
    x = 149,048.26

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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.