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Finding the Third Proportional to 44,001 and 96,446.25

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Solution

The third proportional to 44,001 and 96,446.25 is: 211,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,001 : 96,446.25 = 96,446.25 : x
  2. Step 2: Convert to fraction form
    44,001/96,446.25 = 96,446.25/x
  3. Step 3: Cross multiply
    44,001x = 96,446.25 × 96,446.25
  4. Step 4: Simplify right side
    44,001x = 9,301,879,139.06
  5. Step 5: Solve for x
    x = 9,301,879,139.06/44,001
  6. Step 6: Final answer
    x = 211,401.54

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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.