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Finding the Third Proportional to 177,914,364 and 389,840,904

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Solution

The third proportional to 177,914,364 and 389,840,904 is: 854,208,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,914,364 : 389,840,904 = 389,840,904 : x
  2. Step 2: Convert to fraction form
    177,914,364/389,840,904 = 389,840,904/x
  3. Step 3: Cross multiply
    177,914,364x = 389,840,904 × 389,840,904
  4. Step 4: Simplify right side
    177,914,364x = 151,975,930,431,537,216
  5. Step 5: Solve for x
    x = 151,975,930,431,537,216/177,914,364
  6. Step 6: Final answer
    x = 854,208,322.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.