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Finding the Third Proportional to 150,692.91 and 204,654.09

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Solution

The third proportional to 150,692.91 and 204,654.09 is: 277,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,692.91 : 204,654.09 = 204,654.09 : x
  2. Step 2: Convert to fraction form
    150,692.91/204,654.09 = 204,654.09/x
  3. Step 3: Cross multiply
    150,692.91x = 204,654.09 × 204,654.09
  4. Step 4: Simplify right side
    150,692.91x = 41,883,298,088.63
  5. Step 5: Solve for x
    x = 41,883,298,088.63/150,692.91
  6. Step 6: Final answer
    x = 277,938.09

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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.