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Finding the Third Proportional to 41,437.83 and 90,466.03

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Solution

The third proportional to 41,437.83 and 90,466.03 is: 197,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437.83 : 90,466.03 = 90,466.03 : x
  2. Step 2: Convert to fraction form
    41,437.83/90,466.03 = 90,466.03/x
  3. Step 3: Cross multiply
    41,437.83x = 90,466.03 × 90,466.03
  4. Step 4: Simplify right side
    41,437.83x = 8,184,102,810.13
  5. Step 5: Solve for x
    x = 8,184,102,810.13/41,437.83
  6. Step 6: Final answer
    x = 197,503.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.