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Finding the Third Proportional to 44,378 and 97,682

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Solution

The third proportional to 44,378 and 97,682 is: 215,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,378 : 97,682 = 97,682 : x
  2. Step 2: Convert to fraction form
    44,378/97,682 = 97,682/x
  3. Step 3: Cross multiply
    44,378x = 97,682 × 97,682
  4. Step 4: Simplify right side
    44,378x = 9,541,773,124
  5. Step 5: Solve for x
    x = 9,541,773,124/44,378
  6. Step 6: Final answer
    x = 215,011.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.