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Finding the Third Proportional to 116,785.97 and 190,701.84

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Solution

The third proportional to 116,785.97 and 190,701.84 is: 311,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,785.97 : 190,701.84 = 190,701.84 : x
  2. Step 2: Convert to fraction form
    116,785.97/190,701.84 = 190,701.84/x
  3. Step 3: Cross multiply
    116,785.97x = 190,701.84 × 190,701.84
  4. Step 4: Simplify right side
    116,785.97x = 36,367,193,209.65
  5. Step 5: Solve for x
    x = 36,367,193,209.65/116,785.97
  6. Step 6: Final answer
    x = 311,400.36

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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.