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Finding the Third Proportional to 44,378 and 96,946

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Solution

The third proportional to 44,378 and 96,946 is: 211,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,378 : 96,946 = 96,946 : x
  2. Step 2: Convert to fraction form
    44,378/96,946 = 96,946/x
  3. Step 3: Cross multiply
    44,378x = 96,946 × 96,946
  4. Step 4: Simplify right side
    44,378x = 9,398,526,916
  5. Step 5: Solve for x
    x = 9,398,526,916/44,378
  6. Step 6: Final answer
    x = 211,783.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.