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Finding the Third Proportional to 126,083,104.31 and 197,769,265.59

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Solution

The third proportional to 126,083,104.31 and 197,769,265.59 is: 310,213,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,083,104.31 : 197,769,265.59 = 197,769,265.59 : x
  2. Step 2: Convert to fraction form
    126,083,104.31/197,769,265.59 = 197,769,265.59/x
  3. Step 3: Cross multiply
    126,083,104.31x = 197,769,265.59 × 197,769,265.59
  4. Step 4: Simplify right side
    126,083,104.31x = 39,112,682,413,491,224
  5. Step 5: Solve for x
    x = 39,112,682,413,491,224/126,083,104.31
  6. Step 6: Final answer
    x = 310,213,510.58

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