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Finding the Third Proportional to 87,378.75 and 190,749.94

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Solution

The third proportional to 87,378.75 and 190,749.94 is: 416,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378.75 : 190,749.94 = 190,749.94 : x
  2. Step 2: Convert to fraction form
    87,378.75/190,749.94 = 190,749.94/x
  3. Step 3: Cross multiply
    87,378.75x = 190,749.94 × 190,749.94
  4. Step 4: Simplify right side
    87,378.75x = 36,385,538,656.25
  5. Step 5: Solve for x
    x = 36,385,538,656.25/87,378.75
  6. Step 6: Final answer
    x = 416,411.76

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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.