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Finding the Third Proportional to 179,701,565 and 256,797,703

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Solution

The third proportional to 179,701,565 and 256,797,703 is: 366,969,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,565 : 256,797,703 = 256,797,703 : x
  2. Step 2: Convert to fraction form
    179,701,565/256,797,703 = 256,797,703/x
  3. Step 3: Cross multiply
    179,701,565x = 256,797,703 × 256,797,703
  4. Step 4: Simplify right side
    179,701,565x = 65,945,060,266,076,208
  5. Step 5: Solve for x
    x = 65,945,060,266,076,208/179,701,565
  6. Step 6: Final answer
    x = 366,969,871.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.