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Finding the Third Proportional to 177,437,831 and 386,120,265

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Solution

The third proportional to 177,437,831 and 386,120,265 is: 840,231,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437,831 : 386,120,265 = 386,120,265 : x
  2. Step 2: Convert to fraction form
    177,437,831/386,120,265 = 386,120,265/x
  3. Step 3: Cross multiply
    177,437,831x = 386,120,265 × 386,120,265
  4. Step 4: Simplify right side
    177,437,831x = 149,088,859,043,670,240
  5. Step 5: Solve for x
    x = 149,088,859,043,670,240/177,437,831
  6. Step 6: Final answer
    x = 840,231,523.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.