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Finding the Third Proportional to 36,846.56 and 78,950.53

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Solution

The third proportional to 36,846.56 and 78,950.53 is: 169,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846.56 : 78,950.53 = 78,950.53 : x
  2. Step 2: Convert to fraction form
    36,846.56/78,950.53 = 78,950.53/x
  3. Step 3: Cross multiply
    36,846.56x = 78,950.53 × 78,950.53
  4. Step 4: Simplify right side
    36,846.56x = 6,233,186,384.66
  5. Step 5: Solve for x
    x = 6,233,186,384.66/36,846.56
  6. Step 6: Final answer
    x = 169,166.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.