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Finding the Third Proportional to 121,348.31 and 189,944.44

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Solution

The third proportional to 121,348.31 and 189,944.44 is: 297,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,348.31 : 189,944.44 = 189,944.44 : x
  2. Step 2: Convert to fraction form
    121,348.31/189,944.44 = 189,944.44/x
  3. Step 3: Cross multiply
    121,348.31x = 189,944.44 × 189,944.44
  4. Step 4: Simplify right side
    121,348.31x = 36,078,889,337.19
  5. Step 5: Solve for x
    x = 36,078,889,337.19/121,348.31
  6. Step 6: Final answer
    x = 297,316.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.