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Finding the Third Proportional to 87,301.13 and 190,594.69

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Solution

The third proportional to 87,301.13 and 190,594.69 is: 416,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,301.13 : 190,594.69 = 190,594.69 : x
  2. Step 2: Convert to fraction form
    87,301.13/190,594.69 = 190,594.69/x
  3. Step 3: Cross multiply
    87,301.13x = 190,594.69 × 190,594.69
  4. Step 4: Simplify right side
    87,301.13x = 36,326,334,903.22
  5. Step 5: Solve for x
    x = 36,326,334,903.22/87,301.13
  6. Step 6: Final answer
    x = 416,103.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.