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Finding the Third Proportional to 66,433.88 and 141,736.88

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Solution

The third proportional to 66,433.88 and 141,736.88 is: 302,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,433.88 : 141,736.88 = 141,736.88 : x
  2. Step 2: Convert to fraction form
    66,433.88/141,736.88 = 141,736.88/x
  3. Step 3: Cross multiply
    66,433.88x = 141,736.88 × 141,736.88
  4. Step 4: Simplify right side
    66,433.88x = 20,089,341,734.77
  5. Step 5: Solve for x
    x = 20,089,341,734.77/66,433.88
  6. Step 6: Final answer
    x = 302,396.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.