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Finding the Third Proportional to 45,824.48 and 96,262.17

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Solution

The third proportional to 45,824.48 and 96,262.17 is: 202,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,824.48 : 96,262.17 = 96,262.17 : x
  2. Step 2: Convert to fraction form
    45,824.48/96,262.17 = 96,262.17/x
  3. Step 3: Cross multiply
    45,824.48x = 96,262.17 × 96,262.17
  4. Step 4: Simplify right side
    45,824.48x = 9,266,405,734.09
  5. Step 5: Solve for x
    x = 9,266,405,734.09/45,824.48
  6. Step 6: Final answer
    x = 202,215.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.