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Finding the Third Proportional to 81,868.22 and 173,669.06

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Solution

The third proportional to 81,868.22 and 173,669.06 is: 368,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868.22 : 173,669.06 = 173,669.06 : x
  2. Step 2: Convert to fraction form
    81,868.22/173,669.06 = 173,669.06/x
  3. Step 3: Cross multiply
    81,868.22x = 173,669.06 × 173,669.06
  4. Step 4: Simplify right side
    81,868.22x = 30,160,943,269.63
  5. Step 5: Solve for x
    x = 30,160,943,269.63/81,868.22
  6. Step 6: Final answer
    x = 368,408.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.