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Finding the Third Proportional to 92,002.50 and 187,388.25

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Solution

The third proportional to 92,002.50 and 187,388.25 is: 381,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,002.50 : 187,388.25 = 187,388.25 : x
  2. Step 2: Convert to fraction form
    92,002.50/187,388.25 = 187,388.25/x
  3. Step 3: Cross multiply
    92,002.50x = 187,388.25 × 187,388.25
  4. Step 4: Simplify right side
    92,002.50x = 35,114,356,238.06
  5. Step 5: Solve for x
    x = 35,114,356,238.06/92,002.50
  6. Step 6: Final answer
    x = 381,667.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.