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Finding the Third Proportional to 84,459.88 and 183,620.88

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Solution

The third proportional to 84,459.88 and 183,620.88 is: 399,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.88 : 183,620.88 = 183,620.88 : x
  2. Step 2: Convert to fraction form
    84,459.88/183,620.88 = 183,620.88/x
  3. Step 3: Cross multiply
    84,459.88x = 183,620.88 × 183,620.88
  4. Step 4: Simplify right side
    84,459.88x = 33,716,625,735.77
  5. Step 5: Solve for x
    x = 33,716,625,735.77/84,459.88
  6. Step 6: Final answer
    x = 399,202.88

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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.