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Finding the Third Proportional to 135,837,222.75 and 211,827,079.13

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Solution

The third proportional to 135,837,222.75 and 211,827,079.13 is: 330,327,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,837,222.75 : 211,827,079.13 = 211,827,079.13 : x
  2. Step 2: Convert to fraction form
    135,837,222.75/211,827,079.13 = 211,827,079.13/x
  3. Step 3: Cross multiply
    135,837,222.75x = 211,827,079.13 × 211,827,079.13
  4. Step 4: Simplify right side
    135,837,222.75x = 44,870,711,450,629,008
  5. Step 5: Solve for x
    x = 44,870,711,450,629,008/135,837,222.75
  6. Step 6: Final answer
    x = 330,327,067.52

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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.