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Finding the Third Proportional to 46,698 and 99,956

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Solution

The third proportional to 46,698 and 99,956 is: 213,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698 : 99,956 = 99,956 : x
  2. Step 2: Convert to fraction form
    46,698/99,956 = 99,956/x
  3. Step 3: Cross multiply
    46,698x = 99,956 × 99,956
  4. Step 4: Simplify right side
    46,698x = 9,991,201,936
  5. Step 5: Solve for x
    x = 9,991,201,936/46,698
  6. Step 6: Final answer
    x = 213,953.53

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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.