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Finding the Third Proportional to 45,990 and 99,361

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Solution

The third proportional to 45,990 and 99,361 is: 214,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,990 : 99,361 = 99,361 : x
  2. Step 2: Convert to fraction form
    45,990/99,361 = 99,361/x
  3. Step 3: Cross multiply
    45,990x = 99,361 × 99,361
  4. Step 4: Simplify right side
    45,990x = 9,872,608,321
  5. Step 5: Solve for x
    x = 9,872,608,321/45,990
  6. Step 6: Final answer
    x = 214,668.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.