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Finding the Third Proportional to 84,459.94 and 183,621.38

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Solution

The third proportional to 84,459.94 and 183,621.38 is: 399,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.94 : 183,621.38 = 183,621.38 : x
  2. Step 2: Convert to fraction form
    84,459.94/183,621.38 = 183,621.38/x
  3. Step 3: Cross multiply
    84,459.94x = 183,621.38 × 183,621.38
  4. Step 4: Simplify right side
    84,459.94x = 33,716,809,356.89
  5. Step 5: Solve for x
    x = 33,716,809,356.89/84,459.94
  6. Step 6: Final answer
    x = 399,204.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.