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Finding the Third Proportional to 94,562.63 and 204,884.63

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Solution

The third proportional to 94,562.63 and 204,884.63 is: 443,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,562.63 : 204,884.63 = 204,884.63 : x
  2. Step 2: Convert to fraction form
    94,562.63/204,884.63 = 204,884.63/x
  3. Step 3: Cross multiply
    94,562.63x = 204,884.63 × 204,884.63
  4. Step 4: Simplify right side
    94,562.63x = 41,977,709,561.39
  5. Step 5: Solve for x
    x = 41,977,709,561.39/94,562.63
  6. Step 6: Final answer
    x = 443,914.39

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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.