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Finding the Third Proportional to 46,323 and 94,286

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Solution

The third proportional to 46,323 and 94,286 is: 191,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323 : 94,286 = 94,286 : x
  2. Step 2: Convert to fraction form
    46,323/94,286 = 94,286/x
  3. Step 3: Cross multiply
    46,323x = 94,286 × 94,286
  4. Step 4: Simplify right side
    46,323x = 8,889,849,796
  5. Step 5: Solve for x
    x = 8,889,849,796/46,323
  6. Step 6: Final answer
    x = 191,910.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.