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Finding the Third Proportional to 46,504 and 100,888

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Solution

The third proportional to 46,504 and 100,888 is: 218,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504 : 100,888 = 100,888 : x
  2. Step 2: Convert to fraction form
    46,504/100,888 = 100,888/x
  3. Step 3: Cross multiply
    46,504x = 100,888 × 100,888
  4. Step 4: Simplify right side
    46,504x = 10,178,388,544
  5. Step 5: Solve for x
    x = 10,178,388,544/46,504
  6. Step 6: Final answer
    x = 218,871.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.