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Finding the Third Proportional to 135,837,072.75 and 211,826,853.75

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Solution

The third proportional to 135,837,072.75 and 211,826,853.75 is: 330,326,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,837,072.75 : 211,826,853.75 = 211,826,853.75 : x
  2. Step 2: Convert to fraction form
    135,837,072.75/211,826,853.75 = 211,826,853.75/x
  3. Step 3: Cross multiply
    135,837,072.75x = 211,826,853.75 × 211,826,853.75
  4. Step 4: Simplify right side
    135,837,072.75x = 44,870,615,969,623,888
  5. Step 5: Solve for x
    x = 44,870,615,969,623,888/135,837,072.75
  6. Step 6: Final answer
    x = 330,326,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.