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Finding the Third Proportional to 109,304.44 and 238,858.88

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Solution

The third proportional to 109,304.44 and 238,858.88 is: 521,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,304.44 : 238,858.88 = 238,858.88 : x
  2. Step 2: Convert to fraction form
    109,304.44/238,858.88 = 238,858.88/x
  3. Step 3: Cross multiply
    109,304.44x = 238,858.88 × 238,858.88
  4. Step 4: Simplify right side
    109,304.44x = 57,053,562,166.27
  5. Step 5: Solve for x
    x = 57,053,562,166.27/109,304.44
  6. Step 6: Final answer
    x = 521,969.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.