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Finding the Third Proportional to 46,094 and 96,823

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Solution

The third proportional to 46,094 and 96,823 is: 203,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,094 : 96,823 = 96,823 : x
  2. Step 2: Convert to fraction form
    46,094/96,823 = 96,823/x
  3. Step 3: Cross multiply
    46,094x = 96,823 × 96,823
  4. Step 4: Simplify right side
    46,094x = 9,374,693,329
  5. Step 5: Solve for x
    x = 9,374,693,329/46,094
  6. Step 6: Final answer
    x = 203,382.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.