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Finding the Third Proportional to 44,890 and 94,514

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Solution

The third proportional to 44,890 and 94,514 is: 198,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,890 : 94,514 = 94,514 : x
  2. Step 2: Convert to fraction form
    44,890/94,514 = 94,514/x
  3. Step 3: Cross multiply
    44,890x = 94,514 × 94,514
  4. Step 4: Simplify right side
    44,890x = 8,932,896,196
  5. Step 5: Solve for x
    x = 8,932,896,196/44,890
  6. Step 6: Final answer
    x = 198,995.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.