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Finding the Third Proportional to 188,253,276 and 407,766,288

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Solution

The third proportional to 188,253,276 and 407,766,288 is: 883,242,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253,276 : 407,766,288 = 407,766,288 : x
  2. Step 2: Convert to fraction form
    188,253,276/407,766,288 = 407,766,288/x
  3. Step 3: Cross multiply
    188,253,276x = 407,766,288 × 407,766,288
  4. Step 4: Simplify right side
    188,253,276x = 166,273,345,629,298,944
  5. Step 5: Solve for x
    x = 166,273,345,629,298,944/188,253,276
  6. Step 6: Final answer
    x = 883,242,773.58

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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.