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Finding the Third Proportional to 44,789 and 97,766

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Solution

The third proportional to 44,789 and 97,766 is: 213,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,789 : 97,766 = 97,766 : x
  2. Step 2: Convert to fraction form
    44,789/97,766 = 97,766/x
  3. Step 3: Cross multiply
    44,789x = 97,766 × 97,766
  4. Step 4: Simplify right side
    44,789x = 9,558,190,756
  5. Step 5: Solve for x
    x = 9,558,190,756/44,789
  6. Step 6: Final answer
    x = 213,404.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.