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Finding the Third Proportional to 86,209,794 and 188,221,320

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Solution

The third proportional to 86,209,794 and 188,221,320 is: 410,942,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,209,794 : 188,221,320 = 188,221,320 : x
  2. Step 2: Convert to fraction form
    86,209,794/188,221,320 = 188,221,320/x
  3. Step 3: Cross multiply
    86,209,794x = 188,221,320 × 188,221,320
  4. Step 4: Simplify right side
    86,209,794x = 35,427,265,302,542,400
  5. Step 5: Solve for x
    x = 35,427,265,302,542,400/86,209,794
  6. Step 6: Final answer
    x = 410,942,465.57

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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.