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Finding the Third Proportional to 184,414,369.50 and 280,397,704.50

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Solution

The third proportional to 184,414,369.50 and 280,397,704.50 is: 426,338,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,414,369.50 : 280,397,704.50 = 280,397,704.50 : x
  2. Step 2: Convert to fraction form
    184,414,369.50/280,397,704.50 = 280,397,704.50/x
  3. Step 3: Cross multiply
    184,414,369.50x = 280,397,704.50 × 280,397,704.50
  4. Step 4: Simplify right side
    184,414,369.50x = 78,622,872,688,869,328
  5. Step 5: Solve for x
    x = 78,622,872,688,869,328/184,414,369.50
  6. Step 6: Final answer
    x = 426,338,104.25

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Why These Related Problems?

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