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Finding the Third Proportional to 116,987.63 and 188,400.94

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Solution

The third proportional to 116,987.63 and 188,400.94 is: 303,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,987.63 : 188,400.94 = 188,400.94 : x
  2. Step 2: Convert to fraction form
    116,987.63/188,400.94 = 188,400.94/x
  3. Step 3: Cross multiply
    116,987.63x = 188,400.94 × 188,400.94
  4. Step 4: Simplify right side
    116,987.63x = 35,494,913,250.88
  5. Step 5: Solve for x
    x = 35,494,913,250.88/116,987.63
  6. Step 6: Final answer
    x = 303,407.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.