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Finding the Third Proportional to 109,383.19 and 168,741.56

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Solution

The third proportional to 109,383.19 and 168,741.56 is: 260,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,383.19 : 168,741.56 = 168,741.56 : x
  2. Step 2: Convert to fraction form
    109,383.19/168,741.56 = 168,741.56/x
  3. Step 3: Cross multiply
    109,383.19x = 168,741.56 × 168,741.56
  4. Step 4: Simplify right side
    109,383.19x = 28,473,714,914.94
  5. Step 5: Solve for x
    x = 28,473,714,914.94/109,383.19
  6. Step 6: Final answer
    x = 260,311.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.