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Finding the Third Proportional to 64,366.50 and 149,496.75

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Solution

The third proportional to 64,366.50 and 149,496.75 is: 347,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,366.50 : 149,496.75 = 149,496.75 : x
  2. Step 2: Convert to fraction form
    64,366.50/149,496.75 = 149,496.75/x
  3. Step 3: Cross multiply
    64,366.50x = 149,496.75 × 149,496.75
  4. Step 4: Simplify right side
    64,366.50x = 22,349,278,260.56
  5. Step 5: Solve for x
    x = 22,349,278,260.56/64,366.50
  6. Step 6: Final answer
    x = 347,219.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.