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Finding the Third Proportional to 108,944 and 150,022

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Solution

The third proportional to 108,944 and 150,022 is: 206,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,944 : 150,022 = 150,022 : x
  2. Step 2: Convert to fraction form
    108,944/150,022 = 150,022/x
  3. Step 3: Cross multiply
    108,944x = 150,022 × 150,022
  4. Step 4: Simplify right side
    108,944x = 22,506,600,484
  5. Step 5: Solve for x
    x = 22,506,600,484/108,944
  6. Step 6: Final answer
    x = 206,588.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.