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Finding the Third Proportional to 103,025.25 and 213,942.94

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Solution

The third proportional to 103,025.25 and 213,942.94 is: 444,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,025.25 : 213,942.94 = 213,942.94 : x
  2. Step 2: Convert to fraction form
    103,025.25/213,942.94 = 213,942.94/x
  3. Step 3: Cross multiply
    103,025.25x = 213,942.94 × 213,942.94
  4. Step 4: Simplify right side
    103,025.25x = 45,771,580,506.13
  5. Step 5: Solve for x
    x = 45,771,580,506.13/103,025.25
  6. Step 6: Final answer
    x = 444,275.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.