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Finding the Third Proportional to 192,266.44 and 414,113.06

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Solution

The third proportional to 192,266.44 and 414,113.06 is: 891,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,266.44 : 414,113.06 = 414,113.06 : x
  2. Step 2: Convert to fraction form
    192,266.44/414,113.06 = 414,113.06/x
  3. Step 3: Cross multiply
    192,266.44x = 414,113.06 × 414,113.06
  4. Step 4: Simplify right side
    192,266.44x = 171,489,628,533.13
  5. Step 5: Solve for x
    x = 171,489,628,533.13/192,266.44
  6. Step 6: Final answer
    x = 891,937.41

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