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Finding the Third Proportional to 44,650 and 93,894

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Solution

The third proportional to 44,650 and 93,894 is: 197,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,650 : 93,894 = 93,894 : x
  2. Step 2: Convert to fraction form
    44,650/93,894 = 93,894/x
  3. Step 3: Cross multiply
    44,650x = 93,894 × 93,894
  4. Step 4: Simplify right side
    44,650x = 8,816,083,236
  5. Step 5: Solve for x
    x = 8,816,083,236/44,650
  6. Step 6: Final answer
    x = 197,448.67

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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.