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Finding the Third Proportional to 46,293 and 99,795

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Solution

The third proportional to 46,293 and 99,795 is: 215,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,293 : 99,795 = 99,795 : x
  2. Step 2: Convert to fraction form
    46,293/99,795 = 99,795/x
  3. Step 3: Cross multiply
    46,293x = 99,795 × 99,795
  4. Step 4: Simplify right side
    46,293x = 9,959,042,025
  5. Step 5: Solve for x
    x = 9,959,042,025/46,293
  6. Step 6: Final answer
    x = 215,130.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.