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Finding the Third Proportional to 106,819.88 and 165,347.63

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Solution

The third proportional to 106,819.88 and 165,347.63 is: 255,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,819.88 : 165,347.63 = 165,347.63 : x
  2. Step 2: Convert to fraction form
    106,819.88/165,347.63 = 165,347.63/x
  3. Step 3: Cross multiply
    106,819.88x = 165,347.63 × 165,347.63
  4. Step 4: Simplify right side
    106,819.88x = 27,339,837,093.14
  5. Step 5: Solve for x
    x = 27,339,837,093.14/106,819.88
  6. Step 6: Final answer
    x = 255,943.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.