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Finding the Third Proportional to 134,086,998 and 205,029,189

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Solution

The third proportional to 134,086,998 and 205,029,189 is: 313,505,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,086,998 : 205,029,189 = 205,029,189 : x
  2. Step 2: Convert to fraction form
    134,086,998/205,029,189 = 205,029,189/x
  3. Step 3: Cross multiply
    134,086,998x = 205,029,189 × 205,029,189
  4. Step 4: Simplify right side
    134,086,998x = 42,036,968,341,997,720
  5. Step 5: Solve for x
    x = 42,036,968,341,997,720/134,086,998
  6. Step 6: Final answer
    x = 313,505,179.24

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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.