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Finding the Third Proportional to 92,257.10 and 150,648.61

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Solution

The third proportional to 92,257.10 and 150,648.61 is: 245,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,257.10 : 150,648.61 = 150,648.61 : x
  2. Step 2: Convert to fraction form
    92,257.10/150,648.61 = 150,648.61/x
  3. Step 3: Cross multiply
    92,257.10x = 150,648.61 × 150,648.61
  4. Step 4: Simplify right side
    92,257.10x = 22,695,003,506.62
  5. Step 5: Solve for x
    x = 22,695,003,506.62/92,257.10
  6. Step 6: Final answer
    x = 245,997.36

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.