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Finding the Third Proportional to 46,664 and 100,699

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Solution

The third proportional to 46,664 and 100,699 is: 217,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,664 : 100,699 = 100,699 : x
  2. Step 2: Convert to fraction form
    46,664/100,699 = 100,699/x
  3. Step 3: Cross multiply
    46,664x = 100,699 × 100,699
  4. Step 4: Simplify right side
    46,664x = 10,140,288,601
  5. Step 5: Solve for x
    x = 10,140,288,601/46,664
  6. Step 6: Final answer
    x = 217,304.32

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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.