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Finding the Third Proportional to 43,932.38 and 97,696.13

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Solution

The third proportional to 43,932.38 and 97,696.13 is: 217,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,932.38 : 97,696.13 = 97,696.13 : x
  2. Step 2: Convert to fraction form
    43,932.38/97,696.13 = 97,696.13/x
  3. Step 3: Cross multiply
    43,932.38x = 97,696.13 × 97,696.13
  4. Step 4: Simplify right side
    43,932.38x = 9,544,532,840.02
  5. Step 5: Solve for x
    x = 9,544,532,840.02/43,932.38
  6. Step 6: Final answer
    x = 217,255.11

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.