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Finding the Third Proportional to 45,902.53 and 97,315.59

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Solution

The third proportional to 45,902.53 and 97,315.59 is: 206,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.53 : 97,315.59 = 97,315.59 : x
  2. Step 2: Convert to fraction form
    45,902.53/97,315.59 = 97,315.59/x
  3. Step 3: Cross multiply
    45,902.53x = 97,315.59 × 97,315.59
  4. Step 4: Simplify right side
    45,902.53x = 9,470,324,786.92
  5. Step 5: Solve for x
    x = 9,470,324,786.92/45,902.53
  6. Step 6: Final answer
    x = 206,313.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.