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Finding the Third Proportional to 48,410.50 and 105,433.50

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Solution

The third proportional to 48,410.50 and 105,433.50 is: 229,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410.50 : 105,433.50 = 105,433.50 : x
  2. Step 2: Convert to fraction form
    48,410.50/105,433.50 = 105,433.50/x
  3. Step 3: Cross multiply
    48,410.50x = 105,433.50 × 105,433.50
  4. Step 4: Simplify right side
    48,410.50x = 11,116,222,922.25
  5. Step 5: Solve for x
    x = 11,116,222,922.25/48,410.50
  6. Step 6: Final answer
    x = 229,624.21

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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.