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Finding the Third Proportional to 83,893.75 and 184,365.50

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Solution

The third proportional to 83,893.75 and 184,365.50 is: 405,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.75 : 184,365.50 = 184,365.50 : x
  2. Step 2: Convert to fraction form
    83,893.75/184,365.50 = 184,365.50/x
  3. Step 3: Cross multiply
    83,893.75x = 184,365.50 × 184,365.50
  4. Step 4: Simplify right side
    83,893.75x = 33,990,637,590.25
  5. Step 5: Solve for x
    x = 33,990,637,590.25/83,893.75
  6. Step 6: Final answer
    x = 405,162.93

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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.