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Finding the Third Proportional to 44,384 and 97,268

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Solution

The third proportional to 44,384 and 97,268 is: 213,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,384 : 97,268 = 97,268 : x
  2. Step 2: Convert to fraction form
    44,384/97,268 = 97,268/x
  3. Step 3: Cross multiply
    44,384x = 97,268 × 97,268
  4. Step 4: Simplify right side
    44,384x = 9,461,063,824
  5. Step 5: Solve for x
    x = 9,461,063,824/44,384
  6. Step 6: Final answer
    x = 213,163.84

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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.