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Finding the Third Proportional to 113,046.47 and 179,947.88

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Solution

The third proportional to 113,046.47 and 179,947.88 is: 286,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,046.47 : 179,947.88 = 179,947.88 : x
  2. Step 2: Convert to fraction form
    113,046.47/179,947.88 = 179,947.88/x
  3. Step 3: Cross multiply
    113,046.47x = 179,947.88 × 179,947.88
  4. Step 4: Simplify right side
    113,046.47x = 32,381,237,717.02
  5. Step 5: Solve for x
    x = 32,381,237,717.02/113,046.47
  6. Step 6: Final answer
    x = 286,441.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.