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Finding the Third Proportional to 119,222.63 and 180,049.13

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Solution

The third proportional to 119,222.63 and 180,049.13 is: 271,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,222.63 : 180,049.13 = 180,049.13 : x
  2. Step 2: Convert to fraction form
    119,222.63/180,049.13 = 180,049.13/x
  3. Step 3: Cross multiply
    119,222.63x = 180,049.13 × 180,049.13
  4. Step 4: Simplify right side
    119,222.63x = 32,417,687,413.27
  5. Step 5: Solve for x
    x = 32,417,687,413.27/119,222.63
  6. Step 6: Final answer
    x = 271,908.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.