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Finding the Third Proportional to 84,636.56 and 183,851.44

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Solution

The third proportional to 84,636.56 and 183,851.44 is: 399,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,636.56 : 183,851.44 = 183,851.44 : x
  2. Step 2: Convert to fraction form
    84,636.56/183,851.44 = 183,851.44/x
  3. Step 3: Cross multiply
    84,636.56x = 183,851.44 × 183,851.44
  4. Step 4: Simplify right side
    84,636.56x = 33,801,351,070.82
  5. Step 5: Solve for x
    x = 33,801,351,070.82/84,636.56
  6. Step 6: Final answer
    x = 399,370.56

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