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Finding the Third Proportional to 116,241,881,987 and 181,950,293,627

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Solution

The third proportional to 116,241,881,987 and 181,950,293,627 is: 284,801,904,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,241,881,987 : 181,950,293,627 = 181,950,293,627 : x
  2. Step 2: Convert to fraction form
    116,241,881,987/181,950,293,627 = 181,950,293,627/x
  3. Step 3: Cross multiply
    116,241,881,987x = 181,950,293,627 × 181,950,293,627
  4. Step 4: Simplify right side
    116,241,881,987x = 33,105,909,350,951,517,421,568
  5. Step 5: Solve for x
    x = 33,105,909,350,951,517,421,568/116,241,881,987
  6. Step 6: Final answer
    x = 284,801,904,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.