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Finding the Third Proportional to 44,989 and 98,453

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Solution

The third proportional to 44,989 and 98,453 is: 215,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,989 : 98,453 = 98,453 : x
  2. Step 2: Convert to fraction form
    44,989/98,453 = 98,453/x
  3. Step 3: Cross multiply
    44,989x = 98,453 × 98,453
  4. Step 4: Simplify right side
    44,989x = 9,692,993,209
  5. Step 5: Solve for x
    x = 9,692,993,209/44,989
  6. Step 6: Final answer
    x = 215,452.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.