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Finding the Third Proportional to 45,796.88 and 96,513.38

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Solution

The third proportional to 45,796.88 and 96,513.38 is: 203,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,796.88 : 96,513.38 = 96,513.38 : x
  2. Step 2: Convert to fraction form
    45,796.88/96,513.38 = 96,513.38/x
  3. Step 3: Cross multiply
    45,796.88x = 96,513.38 × 96,513.38
  4. Step 4: Simplify right side
    45,796.88x = 9,314,831,553.89
  5. Step 5: Solve for x
    x = 9,314,831,553.89/45,796.88
  6. Step 6: Final answer
    x = 203,394.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.