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Finding the Third Proportional to 192,199.50 and 408,047.63

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Solution

The third proportional to 192,199.50 and 408,047.63 is: 866,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,199.50 : 408,047.63 = 408,047.63 : x
  2. Step 2: Convert to fraction form
    192,199.50/408,047.63 = 408,047.63/x
  3. Step 3: Cross multiply
    192,199.50x = 408,047.63 × 408,047.63
  4. Step 4: Simplify right side
    192,199.50x = 166,502,864,268.14
  5. Step 5: Solve for x
    x = 166,502,864,268.14/192,199.50
  6. Step 6: Final answer
    x = 866,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.