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Finding the Third Proportional to 46,183 and 99,578

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Solution

The third proportional to 46,183 and 99,578 is: 214,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183 : 99,578 = 99,578 : x
  2. Step 2: Convert to fraction form
    46,183/99,578 = 99,578/x
  3. Step 3: Cross multiply
    46,183x = 99,578 × 99,578
  4. Step 4: Simplify right side
    46,183x = 9,915,778,084
  5. Step 5: Solve for x
    x = 9,915,778,084/46,183
  6. Step 6: Final answer
    x = 214,706.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.