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Finding the Third Proportional to 46,199 and 99,790

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Solution

The third proportional to 46,199 and 99,790 is: 215,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,199 : 99,790 = 99,790 : x
  2. Step 2: Convert to fraction form
    46,199/99,790 = 99,790/x
  3. Step 3: Cross multiply
    46,199x = 99,790 × 99,790
  4. Step 4: Simplify right side
    46,199x = 9,958,044,100
  5. Step 5: Solve for x
    x = 9,958,044,100/46,199
  6. Step 6: Final answer
    x = 215,546.75

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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.