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Finding the Third Proportional to 123,268,267.13 and 271,189,891.69

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Solution

The third proportional to 123,268,267.13 and 271,189,891.69 is: 596,617,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,268,267.13 : 271,189,891.69 = 271,189,891.69 : x
  2. Step 2: Convert to fraction form
    123,268,267.13/271,189,891.69 = 271,189,891.69/x
  3. Step 3: Cross multiply
    123,268,267.13x = 271,189,891.69 × 271,189,891.69
  4. Step 4: Simplify right side
    123,268,267.13x = 73,543,957,353,477,984
  5. Step 5: Solve for x
    x = 73,543,957,353,477,984/123,268,267.13
  6. Step 6: Final answer
    x = 596,617,110.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.