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Finding the Third Proportional to 106,923.80 and 149,486.77

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Solution

The third proportional to 106,923.80 and 149,486.77 is: 208,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,923.80 : 149,486.77 = 149,486.77 : x
  2. Step 2: Convert to fraction form
    106,923.80/149,486.77 = 149,486.77/x
  3. Step 3: Cross multiply
    106,923.80x = 149,486.77 × 149,486.77
  4. Step 4: Simplify right side
    106,923.80x = 22,346,293,097.02
  5. Step 5: Solve for x
    x = 22,346,293,097.02/106,923.80
  6. Step 6: Final answer
    x = 208,992.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.