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Finding the Third Proportional to 45,033.75 and 98,419.50

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Solution

The third proportional to 45,033.75 and 98,419.50 is: 215,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,033.75 : 98,419.50 = 98,419.50 : x
  2. Step 2: Convert to fraction form
    45,033.75/98,419.50 = 98,419.50/x
  3. Step 3: Cross multiply
    45,033.75x = 98,419.50 × 98,419.50
  4. Step 4: Simplify right side
    45,033.75x = 9,686,397,980.25
  5. Step 5: Solve for x
    x = 9,686,397,980.25/45,033.75
  6. Step 6: Final answer
    x = 215,091.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.