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Finding the Third Proportional to 44,456 and 96,901

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Solution

The third proportional to 44,456 and 96,901 is: 211,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,456 : 96,901 = 96,901 : x
  2. Step 2: Convert to fraction form
    44,456/96,901 = 96,901/x
  3. Step 3: Cross multiply
    44,456x = 96,901 × 96,901
  4. Step 4: Simplify right side
    44,456x = 9,389,803,801
  5. Step 5: Solve for x
    x = 9,389,803,801/44,456
  6. Step 6: Final answer
    x = 211,215.67

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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.