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Finding the Third Proportional to 66,991.22 and 143,695.78

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Solution

The third proportional to 66,991.22 and 143,695.78 is: 308,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991.22 : 143,695.78 = 143,695.78 : x
  2. Step 2: Convert to fraction form
    66,991.22/143,695.78 = 143,695.78/x
  3. Step 3: Cross multiply
    66,991.22x = 143,695.78 × 143,695.78
  4. Step 4: Simplify right side
    66,991.22x = 20,648,477,549.05
  5. Step 5: Solve for x
    x = 20,648,477,549.05/66,991.22
  6. Step 6: Final answer
    x = 308,226.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.