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Finding the Third Proportional to 101,892.94 and 213,080.63

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Solution

The third proportional to 101,892.94 and 213,080.63 is: 445,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,892.94 : 213,080.63 = 213,080.63 : x
  2. Step 2: Convert to fraction form
    101,892.94/213,080.63 = 213,080.63/x
  3. Step 3: Cross multiply
    101,892.94x = 213,080.63 × 213,080.63
  4. Step 4: Simplify right side
    101,892.94x = 45,403,352,750.39
  5. Step 5: Solve for x
    x = 45,403,352,750.39/101,892.94
  6. Step 6: Final answer
    x = 445,598.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.