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Finding the Third Proportional to 66,891.45 and 145,777.22

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Solution

The third proportional to 66,891.45 and 145,777.22 is: 317,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,891.45 : 145,777.22 = 145,777.22 : x
  2. Step 2: Convert to fraction form
    66,891.45/145,777.22 = 145,777.22/x
  3. Step 3: Cross multiply
    66,891.45x = 145,777.22 × 145,777.22
  4. Step 4: Simplify right side
    66,891.45x = 21,250,997,506.49
  5. Step 5: Solve for x
    x = 21,250,997,506.49/66,891.45
  6. Step 6: Final answer
    x = 317,693.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.