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Finding the Third Proportional to 113,866.88 and 164,033.44

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Solution

The third proportional to 113,866.88 and 164,033.44 is: 236,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866.88 : 164,033.44 = 164,033.44 : x
  2. Step 2: Convert to fraction form
    113,866.88/164,033.44 = 164,033.44/x
  3. Step 3: Cross multiply
    113,866.88x = 164,033.44 × 164,033.44
  4. Step 4: Simplify right side
    113,866.88x = 26,906,968,618.07
  5. Step 5: Solve for x
    x = 26,906,968,618.07/113,866.88
  6. Step 6: Final answer
    x = 236,301.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.