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Finding the Third Proportional to 119,565,304,170.75 and 263,501,825,841

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Solution

The third proportional to 119,565,304,170.75 and 263,501,825,841 is: 580,713,717,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565,304,170.75 : 263,501,825,841 = 263,501,825,841 : x
  2. Step 2: Convert to fraction form
    119,565,304,170.75/263,501,825,841 = 263,501,825,841/x
  3. Step 3: Cross multiply
    119,565,304,170.75x = 263,501,825,841 × 263,501,825,841
  4. Step 4: Simplify right side
    119,565,304,170.75x = 69,433,212,221,540,693,704,704
  5. Step 5: Solve for x
    x = 69,433,212,221,540,693,704,704/119,565,304,170.75
  6. Step 6: Final answer
    x = 580,713,717,102.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.