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Finding the Third Proportional to 50,463 and 89,383.50

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Solution

The third proportional to 50,463 and 89,383.50 is: 158,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 89,383.50 = 89,383.50 : x
  2. Step 2: Convert to fraction form
    50,463/89,383.50 = 89,383.50/x
  3. Step 3: Cross multiply
    50,463x = 89,383.50 × 89,383.50
  4. Step 4: Simplify right side
    50,463x = 7,989,410,072.25
  5. Step 5: Solve for x
    x = 7,989,410,072.25/50,463
  6. Step 6: Final answer
    x = 158,322.14

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.