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Finding the Third Proportional to 119,565,304,172 and 263,501,825,843

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Solution

The third proportional to 119,565,304,172 and 263,501,825,843 is: 580,713,717,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565,304,172 : 263,501,825,843 = 263,501,825,843 : x
  2. Step 2: Convert to fraction form
    119,565,304,172/263,501,825,843 = 263,501,825,843/x
  3. Step 3: Cross multiply
    119,565,304,172x = 263,501,825,843 × 263,501,825,843
  4. Step 4: Simplify right side
    119,565,304,172x = 69,433,212,222,594,705,522,688
  5. Step 5: Solve for x
    x = 69,433,212,222,594,705,522,688/119,565,304,172
  6. Step 6: Final answer
    x = 580,713,717,105.69

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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.