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Finding the Third Proportional to 109,420.88 and 238,013.44

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Solution

The third proportional to 109,420.88 and 238,013.44 is: 517,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,420.88 : 238,013.44 = 238,013.44 : x
  2. Step 2: Convert to fraction form
    109,420.88/238,013.44 = 238,013.44/x
  3. Step 3: Cross multiply
    109,420.88x = 238,013.44 × 238,013.44
  4. Step 4: Simplify right side
    109,420.88x = 56,650,396,430.57
  5. Step 5: Solve for x
    x = 56,650,396,430.57/109,420.88
  6. Step 6: Final answer
    x = 517,729.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.