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Finding the Third Proportional to 44,245 and 97,238

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Solution

The third proportional to 44,245 and 97,238 is: 213,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,245 : 97,238 = 97,238 : x
  2. Step 2: Convert to fraction form
    44,245/97,238 = 97,238/x
  3. Step 3: Cross multiply
    44,245x = 97,238 × 97,238
  4. Step 4: Simplify right side
    44,245x = 9,455,228,644
  5. Step 5: Solve for x
    x = 9,455,228,644/44,245
  6. Step 6: Final answer
    x = 213,701.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.