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Finding the Third Proportional to 45,796.50 and 96,513

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Solution

The third proportional to 45,796.50 and 96,513 is: 203,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,796.50 : 96,513 = 96,513 : x
  2. Step 2: Convert to fraction form
    45,796.50/96,513 = 96,513/x
  3. Step 3: Cross multiply
    45,796.50x = 96,513 × 96,513
  4. Step 4: Simplify right side
    45,796.50x = 9,314,759,169
  5. Step 5: Solve for x
    x = 9,314,759,169/45,796.50
  6. Step 6: Final answer
    x = 203,394.56

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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.