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Finding the Third Proportional to 134,086,986 and 205,029,171

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Solution

The third proportional to 134,086,986 and 205,029,171 is: 313,505,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,086,986 : 205,029,171 = 205,029,171 : x
  2. Step 2: Convert to fraction form
    134,086,986/205,029,171 = 205,029,171/x
  3. Step 3: Cross multiply
    134,086,986x = 205,029,171 × 205,029,171
  4. Step 4: Simplify right side
    134,086,986x = 42,036,960,960,947,240
  5. Step 5: Solve for x
    x = 42,036,960,960,947,240/134,086,986
  6. Step 6: Final answer
    x = 313,505,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.