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Finding the Third Proportional to 102,555.49 and 213,335.02

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Solution

The third proportional to 102,555.49 and 213,335.02 is: 443,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,555.49 : 213,335.02 = 213,335.02 : x
  2. Step 2: Convert to fraction form
    102,555.49/213,335.02 = 213,335.02/x
  3. Step 3: Cross multiply
    102,555.49x = 213,335.02 × 213,335.02
  4. Step 4: Simplify right side
    102,555.49x = 45,511,828,891.72
  5. Step 5: Solve for x
    x = 45,511,828,891.72/102,555.49
  6. Step 6: Final answer
    x = 443,777.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.