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Finding the Third Proportional to 150,665.63 and 204,622.88

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Solution

The third proportional to 150,665.63 and 204,622.88 is: 277,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,665.63 : 204,622.88 = 204,622.88 : x
  2. Step 2: Convert to fraction form
    150,665.63/204,622.88 = 204,622.88/x
  3. Step 3: Cross multiply
    150,665.63x = 204,622.88 × 204,622.88
  4. Step 4: Simplify right side
    150,665.63x = 41,870,520,973.27
  5. Step 5: Solve for x
    x = 41,870,520,973.27/150,665.63
  6. Step 6: Final answer
    x = 277,903.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.