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Finding the Third Proportional to 44,307 and 101,007

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Solution

The third proportional to 44,307 and 101,007 is: 230,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,307 : 101,007 = 101,007 : x
  2. Step 2: Convert to fraction form
    44,307/101,007 = 101,007/x
  3. Step 3: Cross multiply
    44,307x = 101,007 × 101,007
  4. Step 4: Simplify right side
    44,307x = 10,202,414,049
  5. Step 5: Solve for x
    x = 10,202,414,049/44,307
  6. Step 6: Final answer
    x = 230,266.41

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.