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Finding the Third Proportional to 45,216.56 and 98,215.31

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Solution

The third proportional to 45,216.56 and 98,215.31 is: 213,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216.56 : 98,215.31 = 98,215.31 : x
  2. Step 2: Convert to fraction form
    45,216.56/98,215.31 = 98,215.31/x
  3. Step 3: Cross multiply
    45,216.56x = 98,215.31 × 98,215.31
  4. Step 4: Simplify right side
    45,216.56x = 9,646,247,609.47
  5. Step 5: Solve for x
    x = 9,646,247,609.47/45,216.56
  6. Step 6: Final answer
    x = 213,334.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.