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Finding the Third Proportional to 44,648 and 93,890

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Solution

The third proportional to 44,648 and 93,890 is: 197,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 93,890 = 93,890 : x
  2. Step 2: Convert to fraction form
    44,648/93,890 = 93,890/x
  3. Step 3: Cross multiply
    44,648x = 93,890 × 93,890
  4. Step 4: Simplify right side
    44,648x = 8,815,332,100
  5. Step 5: Solve for x
    x = 8,815,332,100/44,648
  6. Step 6: Final answer
    x = 197,440.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.