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Finding the Third Proportional to 90,619.50 and 213,210.75

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Solution

The third proportional to 90,619.50 and 213,210.75 is: 501,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,619.50 : 213,210.75 = 213,210.75 : x
  2. Step 2: Convert to fraction form
    90,619.50/213,210.75 = 213,210.75/x
  3. Step 3: Cross multiply
    90,619.50x = 213,210.75 × 213,210.75
  4. Step 4: Simplify right side
    90,619.50x = 45,458,823,915.56
  5. Step 5: Solve for x
    x = 45,458,823,915.56/90,619.50
  6. Step 6: Final answer
    x = 501,645.05

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.