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Finding the Third Proportional to 46,690 and 100,804

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Solution

The third proportional to 46,690 and 100,804 is: 217,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690 : 100,804 = 100,804 : x
  2. Step 2: Convert to fraction form
    46,690/100,804 = 100,804/x
  3. Step 3: Cross multiply
    46,690x = 100,804 × 100,804
  4. Step 4: Simplify right side
    46,690x = 10,161,446,416
  5. Step 5: Solve for x
    x = 10,161,446,416/46,690
  6. Step 6: Final answer
    x = 217,636.46

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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.