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Finding the Third Proportional to 44,813 and 94,216

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Solution

The third proportional to 44,813 and 94,216 is: 198,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,813 : 94,216 = 94,216 : x
  2. Step 2: Convert to fraction form
    44,813/94,216 = 94,216/x
  3. Step 3: Cross multiply
    44,813x = 94,216 × 94,216
  4. Step 4: Simplify right side
    44,813x = 8,876,654,656
  5. Step 5: Solve for x
    x = 8,876,654,656/44,813
  6. Step 6: Final answer
    x = 198,082.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.