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Finding the Third Proportional to 46,194 and 99,293

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Solution

The third proportional to 46,194 and 99,293 is: 213,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194 : 99,293 = 99,293 : x
  2. Step 2: Convert to fraction form
    46,194/99,293 = 99,293/x
  3. Step 3: Cross multiply
    46,194x = 99,293 × 99,293
  4. Step 4: Simplify right side
    46,194x = 9,859,099,849
  5. Step 5: Solve for x
    x = 9,859,099,849/46,194
  6. Step 6: Final answer
    x = 213,428.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.