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Finding the Third Proportional to 116,843.63 and 190,777.50

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Solution

The third proportional to 116,843.63 and 190,777.50 is: 311,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,843.63 : 190,777.50 = 190,777.50 : x
  2. Step 2: Convert to fraction form
    116,843.63/190,777.50 = 190,777.50/x
  3. Step 3: Cross multiply
    116,843.63x = 190,777.50 × 190,777.50
  4. Step 4: Simplify right side
    116,843.63x = 36,396,054,506.25
  5. Step 5: Solve for x
    x = 36,396,054,506.25/116,843.63
  6. Step 6: Final answer
    x = 311,493.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.