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Finding the Third Proportional to 188,253,153 and 407,766,042

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Solution

The third proportional to 188,253,153 and 407,766,042 is: 883,242,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253,153 : 407,766,042 = 407,766,042 : x
  2. Step 2: Convert to fraction form
    188,253,153/407,766,042 = 407,766,042/x
  3. Step 3: Cross multiply
    188,253,153x = 407,766,042 × 407,766,042
  4. Step 4: Simplify right side
    188,253,153x = 166,273,145,008,345,760
  5. Step 5: Solve for x
    x = 166,273,145,008,345,760/188,253,153
  6. Step 6: Final answer
    x = 883,242,284.97

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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.