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Finding the Third Proportional to 44,416.97 and 97,137.56

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Solution

The third proportional to 44,416.97 and 97,137.56 is: 212,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,416.97 : 97,137.56 = 97,137.56 : x
  2. Step 2: Convert to fraction form
    44,416.97/97,137.56 = 97,137.56/x
  3. Step 3: Cross multiply
    44,416.97x = 97,137.56 × 97,137.56
  4. Step 4: Simplify right side
    44,416.97x = 9,435,706,048.44
  5. Step 5: Solve for x
    x = 9,435,706,048.44/44,416.97
  6. Step 6: Final answer
    x = 212,434.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.