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Finding the Third Proportional to 108,743.63 and 238,763.44

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Solution

The third proportional to 108,743.63 and 238,763.44 is: 524,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743.63 : 238,763.44 = 238,763.44 : x
  2. Step 2: Convert to fraction form
    108,743.63/238,763.44 = 238,763.44/x
  3. Step 3: Cross multiply
    108,743.63x = 238,763.44 × 238,763.44
  4. Step 4: Simplify right side
    108,743.63x = 57,007,979,086.82
  5. Step 5: Solve for x
    x = 57,007,979,086.82/108,743.63
  6. Step 6: Final answer
    x = 524,242.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.