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Finding the Third Proportional to 44,622 and 97,383

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Solution

The third proportional to 44,622 and 97,383 is: 212,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,622 : 97,383 = 97,383 : x
  2. Step 2: Convert to fraction form
    44,622/97,383 = 97,383/x
  3. Step 3: Cross multiply
    44,622x = 97,383 × 97,383
  4. Step 4: Simplify right side
    44,622x = 9,483,448,689
  5. Step 5: Solve for x
    x = 9,483,448,689/44,622
  6. Step 6: Final answer
    x = 212,528.54

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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.