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Finding the Third Proportional to 45,448.88 and 106,149.89

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Solution

The third proportional to 45,448.88 and 106,149.89 is: 247,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,448.88 : 106,149.89 = 106,149.89 : x
  2. Step 2: Convert to fraction form
    45,448.88/106,149.89 = 106,149.89/x
  3. Step 3: Cross multiply
    45,448.88x = 106,149.89 × 106,149.89
  4. Step 4: Simplify right side
    45,448.88x = 11,267,799,279.70
  5. Step 5: Solve for x
    x = 11,267,799,279.70/45,448.88
  6. Step 6: Final answer
    x = 247,922.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.