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Finding the Third Proportional to 83,109 and 183,714.75

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Solution

The third proportional to 83,109 and 183,714.75 is: 406,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109 : 183,714.75 = 183,714.75 : x
  2. Step 2: Convert to fraction form
    83,109/183,714.75 = 183,714.75/x
  3. Step 3: Cross multiply
    83,109x = 183,714.75 × 183,714.75
  4. Step 4: Simplify right side
    83,109x = 33,751,109,367.56
  5. Step 5: Solve for x
    x = 33,751,109,367.56/83,109
  6. Step 6: Final answer
    x = 406,106.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.