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Finding the Third Proportional to 69,914,556 and 109,435,368

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Solution

The third proportional to 69,914,556 and 109,435,368 is: 171,296,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,914,556 : 109,435,368 = 109,435,368 : x
  2. Step 2: Convert to fraction form
    69,914,556/109,435,368 = 109,435,368/x
  3. Step 3: Cross multiply
    69,914,556x = 109,435,368 × 109,435,368
  4. Step 4: Simplify right side
    69,914,556x = 11,976,099,769,295,424
  5. Step 5: Solve for x
    x = 11,976,099,769,295,424/69,914,556
  6. Step 6: Final answer
    x = 171,296,228.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.