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Finding the Third Proportional to 123,107.63 and 264,605.63

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Solution

The third proportional to 123,107.63 and 264,605.63 is: 568,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,107.63 : 264,605.63 = 264,605.63 : x
  2. Step 2: Convert to fraction form
    123,107.63/264,605.63 = 264,605.63/x
  3. Step 3: Cross multiply
    123,107.63x = 264,605.63 × 264,605.63
  4. Step 4: Simplify right side
    123,107.63x = 70,016,136,781.64
  5. Step 5: Solve for x
    x = 70,016,136,781.64/123,107.63
  6. Step 6: Final answer
    x = 568,739.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.