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Finding the Third Proportional to 83,471,040.56 and 178,404,782.06

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Solution

The third proportional to 83,471,040.56 and 178,404,782.06 is: 381,309,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471,040.56 : 178,404,782.06 = 178,404,782.06 : x
  2. Step 2: Convert to fraction form
    83,471,040.56/178,404,782.06 = 178,404,782.06/x
  3. Step 3: Cross multiply
    83,471,040.56x = 178,404,782.06 × 178,404,782.06
  4. Step 4: Simplify right side
    83,471,040.56x = 31,828,266,262,768,120
  5. Step 5: Solve for x
    x = 31,828,266,262,768,120/83,471,040.56
  6. Step 6: Final answer
    x = 381,309,086.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.