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Finding the Third Proportional to 38,199,208 and 82,858,210

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Solution

The third proportional to 38,199,208 and 82,858,210 is: 179,728,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199,208 : 82,858,210 = 82,858,210 : x
  2. Step 2: Convert to fraction form
    38,199,208/82,858,210 = 82,858,210/x
  3. Step 3: Cross multiply
    38,199,208x = 82,858,210 × 82,858,210
  4. Step 4: Simplify right side
    38,199,208x = 6,865,482,964,404,100
  5. Step 5: Solve for x
    x = 6,865,482,964,404,100/38,199,208
  6. Step 6: Final answer
    x = 179,728,411.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.