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Finding the Third Proportional to 83,743.03 and 182,543.06

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Solution

The third proportional to 83,743.03 and 182,543.06 is: 397,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,743.03 : 182,543.06 = 182,543.06 : x
  2. Step 2: Convert to fraction form
    83,743.03/182,543.06 = 182,543.06/x
  3. Step 3: Cross multiply
    83,743.03x = 182,543.06 × 182,543.06
  4. Step 4: Simplify right side
    83,743.03x = 33,321,969,666.88
  5. Step 5: Solve for x
    x = 33,321,969,666.88/83,743.03
  6. Step 6: Final answer
    x = 397,907.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.