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Finding the Third Proportional to 87,514 and 190,865.50

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Solution

The third proportional to 87,514 and 190,865.50 is: 416,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,514 : 190,865.50 = 190,865.50 : x
  2. Step 2: Convert to fraction form
    87,514/190,865.50 = 190,865.50/x
  3. Step 3: Cross multiply
    87,514x = 190,865.50 × 190,865.50
  4. Step 4: Simplify right side
    87,514x = 36,429,639,090.25
  5. Step 5: Solve for x
    x = 36,429,639,090.25/87,514
  6. Step 6: Final answer
    x = 416,272.13

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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.