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Finding the Third Proportional to 84,199.50 and 164,230.03

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Solution

The third proportional to 84,199.50 and 164,230.03 is: 320,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199.50 : 164,230.03 = 164,230.03 : x
  2. Step 2: Convert to fraction form
    84,199.50/164,230.03 = 164,230.03/x
  3. Step 3: Cross multiply
    84,199.50x = 164,230.03 × 164,230.03
  4. Step 4: Simplify right side
    84,199.50x = 26,971,503,164.38
  5. Step 5: Solve for x
    x = 26,971,503,164.38/84,199.50
  6. Step 6: Final answer
    x = 320,328.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.