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Finding the Third Proportional to 44,792 and 98,608

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Solution

The third proportional to 44,792 and 98,608 is: 217,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,792 : 98,608 = 98,608 : x
  2. Step 2: Convert to fraction form
    44,792/98,608 = 98,608/x
  3. Step 3: Cross multiply
    44,792x = 98,608 × 98,608
  4. Step 4: Simplify right side
    44,792x = 9,723,537,664
  5. Step 5: Solve for x
    x = 9,723,537,664/44,792
  6. Step 6: Final answer
    x = 217,082.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.