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Finding the Third Proportional to 41,450.48 and 97,433.51

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Solution

The third proportional to 41,450.48 and 97,433.51 is: 229,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,450.48 : 97,433.51 = 97,433.51 : x
  2. Step 2: Convert to fraction form
    41,450.48/97,433.51 = 97,433.51/x
  3. Step 3: Cross multiply
    41,450.48x = 97,433.51 × 97,433.51
  4. Step 4: Simplify right side
    41,450.48x = 9,493,288,444.65
  5. Step 5: Solve for x
    x = 9,493,288,444.65/41,450.48
  6. Step 6: Final answer
    x = 229,027.20

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.