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Finding the Third Proportional to 31,930.88 and 69,386.63

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Solution

The third proportional to 31,930.88 and 69,386.63 is: 150,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.88 : 69,386.63 = 69,386.63 : x
  2. Step 2: Convert to fraction form
    31,930.88/69,386.63 = 69,386.63/x
  3. Step 3: Cross multiply
    31,930.88x = 69,386.63 × 69,386.63
  4. Step 4: Simplify right side
    31,930.88x = 4,814,503,728.89
  5. Step 5: Solve for x
    x = 4,814,503,728.89/31,930.88
  6. Step 6: Final answer
    x = 150,778.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.