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Finding the Third Proportional to 45,366 and 98,832

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Solution

The third proportional to 45,366 and 98,832 is: 215,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,366 : 98,832 = 98,832 : x
  2. Step 2: Convert to fraction form
    45,366/98,832 = 98,832/x
  3. Step 3: Cross multiply
    45,366x = 98,832 × 98,832
  4. Step 4: Simplify right side
    45,366x = 9,767,764,224
  5. Step 5: Solve for x
    x = 9,767,764,224/45,366
  6. Step 6: Final answer
    x = 215,310.24

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Why These Related Problems?

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