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Finding the Third Proportional to 49,216.99 and 107,967.94

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Solution

The third proportional to 49,216.99 and 107,967.94 is: 236,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216.99 : 107,967.94 = 107,967.94 : x
  2. Step 2: Convert to fraction form
    49,216.99/107,967.94 = 107,967.94/x
  3. Step 3: Cross multiply
    49,216.99x = 107,967.94 × 107,967.94
  4. Step 4: Simplify right side
    49,216.99x = 11,657,075,528.00
  5. Step 5: Solve for x
    x = 11,657,075,528.00/49,216.99
  6. Step 6: Final answer
    x = 236,850.63

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Why These Related Problems?

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