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Finding the Third Proportional to 45,987.75 and 99,019.97

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Solution

The third proportional to 45,987.75 and 99,019.97 is: 213,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 99,019.97 = 99,019.97 : x
  2. Step 2: Convert to fraction form
    45,987.75/99,019.97 = 99,019.97/x
  3. Step 3: Cross multiply
    45,987.75x = 99,019.97 × 99,019.97
  4. Step 4: Simplify right side
    45,987.75x = 9,804,954,211.25
  5. Step 5: Solve for x
    x = 9,804,954,211.25/45,987.75
  6. Step 6: Final answer
    x = 213,207.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.