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Finding the Third Proportional to 85,648.50 and 184,420.13

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Solution

The third proportional to 85,648.50 and 184,420.13 is: 397,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648.50 : 184,420.13 = 184,420.13 : x
  2. Step 2: Convert to fraction form
    85,648.50/184,420.13 = 184,420.13/x
  3. Step 3: Cross multiply
    85,648.50x = 184,420.13 × 184,420.13
  4. Step 4: Simplify right side
    85,648.50x = 34,010,782,505.02
  5. Step 5: Solve for x
    x = 34,010,782,505.02/85,648.50
  6. Step 6: Final answer
    x = 397,097.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.