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Finding the Third Proportional to 135,573,659 and 190,917,587

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Solution

The third proportional to 135,573,659 and 190,917,587 is: 268,854,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,573,659 : 190,917,587 = 190,917,587 : x
  2. Step 2: Convert to fraction form
    135,573,659/190,917,587 = 190,917,587/x
  3. Step 3: Cross multiply
    135,573,659x = 190,917,587 × 190,917,587
  4. Step 4: Simplify right side
    135,573,659x = 36,449,525,025,902,568
  5. Step 5: Solve for x
    x = 36,449,525,025,902,568/135,573,659
  6. Step 6: Final answer
    x = 268,854,033.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.