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Finding the Third Proportional to 46,148 and 100,837

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Solution

The third proportional to 46,148 and 100,837 is: 220,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,148 : 100,837 = 100,837 : x
  2. Step 2: Convert to fraction form
    46,148/100,837 = 100,837/x
  3. Step 3: Cross multiply
    46,148x = 100,837 × 100,837
  4. Step 4: Simplify right side
    46,148x = 10,168,100,569
  5. Step 5: Solve for x
    x = 10,168,100,569/46,148
  6. Step 6: Final answer
    x = 220,336.75

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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.