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Finding the Third Proportional to 108,999 and 235,198

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Solution

The third proportional to 108,999 and 235,198 is: 507,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,999 : 235,198 = 235,198 : x
  2. Step 2: Convert to fraction form
    108,999/235,198 = 235,198/x
  3. Step 3: Cross multiply
    108,999x = 235,198 × 235,198
  4. Step 4: Simplify right side
    108,999x = 55,318,099,204
  5. Step 5: Solve for x
    x = 55,318,099,204/108,999
  6. Step 6: Final answer
    x = 507,510.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.