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Finding the Third Proportional to 44,454 and 96,897

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Solution

The third proportional to 44,454 and 96,897 is: 211,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,454 : 96,897 = 96,897 : x
  2. Step 2: Convert to fraction form
    44,454/96,897 = 96,897/x
  3. Step 3: Cross multiply
    44,454x = 96,897 × 96,897
  4. Step 4: Simplify right side
    44,454x = 9,389,028,609
  5. Step 5: Solve for x
    x = 9,389,028,609/44,454
  6. Step 6: Final answer
    x = 211,207.73

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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.