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Finding the Third Proportional to 44,701 and 97,936

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Solution

The third proportional to 44,701 and 97,936 is: 214,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,701 : 97,936 = 97,936 : x
  2. Step 2: Convert to fraction form
    44,701/97,936 = 97,936/x
  3. Step 3: Cross multiply
    44,701x = 97,936 × 97,936
  4. Step 4: Simplify right side
    44,701x = 9,591,460,096
  5. Step 5: Solve for x
    x = 9,591,460,096/44,701
  6. Step 6: Final answer
    x = 214,569.25

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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.