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Finding the Third Proportional to 192,236.63 and 421,493.63

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Solution

The third proportional to 192,236.63 and 421,493.63 is: 924,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,236.63 : 421,493.63 = 421,493.63 : x
  2. Step 2: Convert to fraction form
    192,236.63/421,493.63 = 421,493.63/x
  3. Step 3: Cross multiply
    192,236.63x = 421,493.63 × 421,493.63
  4. Step 4: Simplify right side
    192,236.63x = 177,656,875,915.64
  5. Step 5: Solve for x
    x = 177,656,875,915.64/192,236.63
  6. Step 6: Final answer
    x = 924,157.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.