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Finding the Third Proportional to 46,334 and 94,307

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Solution

The third proportional to 46,334 and 94,307 is: 191,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,334 : 94,307 = 94,307 : x
  2. Step 2: Convert to fraction form
    46,334/94,307 = 94,307/x
  3. Step 3: Cross multiply
    46,334x = 94,307 × 94,307
  4. Step 4: Simplify right side
    46,334x = 8,893,810,249
  5. Step 5: Solve for x
    x = 8,893,810,249/46,334
  6. Step 6: Final answer
    x = 191,949.98

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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.