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Finding the Third Proportional to 185,109,434 and 270,850,098

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Solution

The third proportional to 185,109,434 and 270,850,098 is: 396,304,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109,434 : 270,850,098 = 270,850,098 : x
  2. Step 2: Convert to fraction form
    185,109,434/270,850,098 = 270,850,098/x
  3. Step 3: Cross multiply
    185,109,434x = 270,850,098 × 270,850,098
  4. Step 4: Simplify right side
    185,109,434x = 73,359,775,586,609,600
  5. Step 5: Solve for x
    x = 73,359,775,586,609,600/185,109,434
  6. Step 6: Final answer
    x = 396,304,899.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.