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Finding the Third Proportional to 83,893.50 and 184,365

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Solution

The third proportional to 83,893.50 and 184,365 is: 405,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.50 : 184,365 = 184,365 : x
  2. Step 2: Convert to fraction form
    83,893.50/184,365 = 184,365/x
  3. Step 3: Cross multiply
    83,893.50x = 184,365 × 184,365
  4. Step 4: Simplify right side
    83,893.50x = 33,990,453,225
  5. Step 5: Solve for x
    x = 33,990,453,225/83,893.50
  6. Step 6: Final answer
    x = 405,161.94

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Why These Related Problems?

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