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Finding the Third Proportional to 46,688 and 99,936

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Solution

The third proportional to 46,688 and 99,936 is: 213,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688 : 99,936 = 99,936 : x
  2. Step 2: Convert to fraction form
    46,688/99,936 = 99,936/x
  3. Step 3: Cross multiply
    46,688x = 99,936 × 99,936
  4. Step 4: Simplify right side
    46,688x = 9,987,204,096
  5. Step 5: Solve for x
    x = 9,987,204,096/46,688
  6. Step 6: Final answer
    x = 213,913.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.