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Finding the Third Proportional to 44,796 and 93,906

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Solution

The third proportional to 44,796 and 93,906 is: 196,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,796 : 93,906 = 93,906 : x
  2. Step 2: Convert to fraction form
    44,796/93,906 = 93,906/x
  3. Step 3: Cross multiply
    44,796x = 93,906 × 93,906
  4. Step 4: Simplify right side
    44,796x = 8,818,336,836
  5. Step 5: Solve for x
    x = 8,818,336,836/44,796
  6. Step 6: Final answer
    x = 196,855.45

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