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Finding the Third Proportional to 46,640 and 99,934

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Solution

The third proportional to 46,640 and 99,934 is: 214,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640 : 99,934 = 99,934 : x
  2. Step 2: Convert to fraction form
    46,640/99,934 = 99,934/x
  3. Step 3: Cross multiply
    46,640x = 99,934 × 99,934
  4. Step 4: Simplify right side
    46,640x = 9,986,804,356
  5. Step 5: Solve for x
    x = 9,986,804,356/46,640
  6. Step 6: Final answer
    x = 214,125.31

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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.