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Finding the Third Proportional to 78,716,104.50 and 171,276,625.50

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Solution

The third proportional to 78,716,104.50 and 171,276,625.50 is: 372,677,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716,104.50 : 171,276,625.50 = 171,276,625.50 : x
  2. Step 2: Convert to fraction form
    78,716,104.50/171,276,625.50 = 171,276,625.50/x
  3. Step 3: Cross multiply
    78,716,104.50x = 171,276,625.50 × 171,276,625.50
  4. Step 4: Simplify right side
    78,716,104.50x = 29,335,682,442,667,252
  5. Step 5: Solve for x
    x = 29,335,682,442,667,252/78,716,104.50
  6. Step 6: Final answer
    x = 372,677,009.73

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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.