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Finding the Third Proportional to 122,082.19 and 263,903.06

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Solution

The third proportional to 122,082.19 and 263,903.06 is: 570,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,082.19 : 263,903.06 = 263,903.06 : x
  2. Step 2: Convert to fraction form
    122,082.19/263,903.06 = 263,903.06/x
  3. Step 3: Cross multiply
    122,082.19x = 263,903.06 × 263,903.06
  4. Step 4: Simplify right side
    122,082.19x = 69,644,826,396.88
  5. Step 5: Solve for x
    x = 69,644,826,396.88/122,082.19
  6. Step 6: Final answer
    x = 570,474.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.