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Finding the Third Proportional to 43,817.63 and 95,016.38

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Solution

The third proportional to 43,817.63 and 95,016.38 is: 206,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817.63 : 95,016.38 = 95,016.38 : x
  2. Step 2: Convert to fraction form
    43,817.63/95,016.38 = 95,016.38/x
  3. Step 3: Cross multiply
    43,817.63x = 95,016.38 × 95,016.38
  4. Step 4: Simplify right side
    43,817.63x = 9,028,111,518.14
  5. Step 5: Solve for x
    x = 9,028,111,518.14/43,817.63
  6. Step 6: Final answer
    x = 206,038.36

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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.