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Finding the Third Proportional to 20,203.31 and 47,192.06

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Solution

The third proportional to 20,203.31 and 47,192.06 is: 110,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.31 : 47,192.06 = 47,192.06 : x
  2. Step 2: Convert to fraction form
    20,203.31/47,192.06 = 47,192.06/x
  3. Step 3: Cross multiply
    20,203.31x = 47,192.06 × 47,192.06
  4. Step 4: Simplify right side
    20,203.31x = 2,227,090,763.00
  5. Step 5: Solve for x
    x = 2,227,090,763.00/20,203.31
  6. Step 6: Final answer
    x = 110,233.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.