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Finding the Third Proportional to 46,816 and 102,400

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Solution

The third proportional to 46,816 and 102,400 is: 223,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816 : 102,400 = 102,400 : x
  2. Step 2: Convert to fraction form
    46,816/102,400 = 102,400/x
  3. Step 3: Cross multiply
    46,816x = 102,400 × 102,400
  4. Step 4: Simplify right side
    46,816x = 10,485,760,000
  5. Step 5: Solve for x
    x = 10,485,760,000/46,816
  6. Step 6: Final answer
    x = 223,978.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.