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Finding the Third Proportional to 37,133.44 and 85,498.03

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Solution

The third proportional to 37,133.44 and 85,498.03 is: 196,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.44 : 85,498.03 = 85,498.03 : x
  2. Step 2: Convert to fraction form
    37,133.44/85,498.03 = 85,498.03/x
  3. Step 3: Cross multiply
    37,133.44x = 85,498.03 × 85,498.03
  4. Step 4: Simplify right side
    37,133.44x = 7,309,913,347.63
  5. Step 5: Solve for x
    x = 7,309,913,347.63/37,133.44
  6. Step 6: Final answer
    x = 196,855.28

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.