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Finding the Third Proportional to 108,990 and 147,933

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Solution

The third proportional to 108,990 and 147,933 is: 200,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,990 : 147,933 = 147,933 : x
  2. Step 2: Convert to fraction form
    108,990/147,933 = 147,933/x
  3. Step 3: Cross multiply
    108,990x = 147,933 × 147,933
  4. Step 4: Simplify right side
    108,990x = 21,884,172,489
  5. Step 5: Solve for x
    x = 21,884,172,489/108,990
  6. Step 6: Final answer
    x = 200,790.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.