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Finding the Third Proportional to 41,297.63 and 90,506.25

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Solution

The third proportional to 41,297.63 and 90,506.25 is: 198,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,297.63 : 90,506.25 = 90,506.25 : x
  2. Step 2: Convert to fraction form
    41,297.63/90,506.25 = 90,506.25/x
  3. Step 3: Cross multiply
    41,297.63x = 90,506.25 × 90,506.25
  4. Step 4: Simplify right side
    41,297.63x = 8,191,381,289.06
  5. Step 5: Solve for x
    x = 8,191,381,289.06/41,297.63
  6. Step 6: Final answer
    x = 198,349.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.