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Finding the Third Proportional to 46,802 and 100,986

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Solution

The third proportional to 46,802 and 100,986 is: 217,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802 : 100,986 = 100,986 : x
  2. Step 2: Convert to fraction form
    46,802/100,986 = 100,986/x
  3. Step 3: Cross multiply
    46,802x = 100,986 × 100,986
  4. Step 4: Simplify right side
    46,802x = 10,198,172,196
  5. Step 5: Solve for x
    x = 10,198,172,196/46,802
  6. Step 6: Final answer
    x = 217,900.35

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