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Finding the Third Proportional to 122,083.13 and 263,904.75

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Solution

The third proportional to 122,083.13 and 263,904.75 is: 570,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,083.13 : 263,904.75 = 263,904.75 : x
  2. Step 2: Convert to fraction form
    122,083.13/263,904.75 = 263,904.75/x
  3. Step 3: Cross multiply
    122,083.13x = 263,904.75 × 263,904.75
  4. Step 4: Simplify right side
    122,083.13x = 69,645,717,072.56
  5. Step 5: Solve for x
    x = 69,645,717,072.56/122,083.13
  6. Step 6: Final answer
    x = 570,477.84

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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.