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Finding the Third Proportional to 46,224 and 98,982

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Solution

The third proportional to 46,224 and 98,982 is: 211,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 98,982 = 98,982 : x
  2. Step 2: Convert to fraction form
    46,224/98,982 = 98,982/x
  3. Step 3: Cross multiply
    46,224x = 98,982 × 98,982
  4. Step 4: Simplify right side
    46,224x = 9,797,436,324
  5. Step 5: Solve for x
    x = 9,797,436,324/46,224
  6. Step 6: Final answer
    x = 211,955.61

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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.