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Finding the Third Proportional to 42,111.56 and 90,968.06

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Solution

The third proportional to 42,111.56 and 90,968.06 is: 196,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111.56 : 90,968.06 = 90,968.06 : x
  2. Step 2: Convert to fraction form
    42,111.56/90,968.06 = 90,968.06/x
  3. Step 3: Cross multiply
    42,111.56x = 90,968.06 × 90,968.06
  4. Step 4: Simplify right side
    42,111.56x = 8,275,188,395.00
  5. Step 5: Solve for x
    x = 8,275,188,395.00/42,111.56
  6. Step 6: Final answer
    x = 196,506.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.