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Finding the Third Proportional to 84,459.63 and 183,620.38

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Solution

The third proportional to 84,459.63 and 183,620.38 is: 399,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.63 : 183,620.38 = 183,620.38 : x
  2. Step 2: Convert to fraction form
    84,459.63/183,620.38 = 183,620.38/x
  3. Step 3: Cross multiply
    84,459.63x = 183,620.38 × 183,620.38
  4. Step 4: Simplify right side
    84,459.63x = 33,716,442,115.14
  5. Step 5: Solve for x
    x = 33,716,442,115.14/84,459.63
  6. Step 6: Final answer
    x = 399,201.89

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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.