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Finding the Third Proportional to 85,404.66 and 183,236.63

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Solution

The third proportional to 85,404.66 and 183,236.63 is: 393,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,404.66 : 183,236.63 = 183,236.63 : x
  2. Step 2: Convert to fraction form
    85,404.66/183,236.63 = 183,236.63/x
  3. Step 3: Cross multiply
    85,404.66x = 183,236.63 × 183,236.63
  4. Step 4: Simplify right side
    85,404.66x = 33,575,660,741.39
  5. Step 5: Solve for x
    x = 33,575,660,741.39/85,404.66
  6. Step 6: Final answer
    x = 393,136.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.