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Finding the Third Proportional to 46,314 and 99,828

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Solution

The third proportional to 46,314 and 99,828 is: 215,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 99,828 = 99,828 : x
  2. Step 2: Convert to fraction form
    46,314/99,828 = 99,828/x
  3. Step 3: Cross multiply
    46,314x = 99,828 × 99,828
  4. Step 4: Simplify right side
    46,314x = 9,965,629,584
  5. Step 5: Solve for x
    x = 9,965,629,584/46,314
  6. Step 6: Final answer
    x = 215,175.32

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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.