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Finding the Third Proportional to 184,414,233.94 and 280,397,505.09

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Solution

The third proportional to 184,414,233.94 and 280,397,505.09 is: 426,337,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,414,233.94 : 280,397,505.09 = 280,397,505.09 : x
  2. Step 2: Convert to fraction form
    184,414,233.94/280,397,505.09 = 280,397,505.09/x
  3. Step 3: Cross multiply
    184,414,233.94x = 280,397,505.09 × 280,397,505.09
  4. Step 4: Simplify right side
    184,414,233.94x = 78,622,760,862,799,552
  5. Step 5: Solve for x
    x = 78,622,760,862,799,552/184,414,233.94
  6. Step 6: Final answer
    x = 426,337,811.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.