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Finding the Third Proportional to 46,192 and 99,290

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Solution

The third proportional to 46,192 and 99,290 is: 213,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,192 : 99,290 = 99,290 : x
  2. Step 2: Convert to fraction form
    46,192/99,290 = 99,290/x
  3. Step 3: Cross multiply
    46,192x = 99,290 × 99,290
  4. Step 4: Simplify right side
    46,192x = 9,858,504,100
  5. Step 5: Solve for x
    x = 9,858,504,100/46,192
  6. Step 6: Final answer
    x = 213,424.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.