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Finding the Third Proportional to 192,456 and 463,063.08

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Solution

The third proportional to 192,456 and 463,063.08 is: 1,114,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456 : 463,063.08 = 463,063.08 : x
  2. Step 2: Convert to fraction form
    192,456/463,063.08 = 463,063.08/x
  3. Step 3: Cross multiply
    192,456x = 463,063.08 × 463,063.08
  4. Step 4: Simplify right side
    192,456x = 214,427,414,322.60
  5. Step 5: Solve for x
    x = 214,427,414,322.60/192,456
  6. Step 6: Final answer
    x = 1,114,163.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.