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Finding the Third Proportional to 82,159,074.56 and 173,485,536.75

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Solution

The third proportional to 82,159,074.56 and 173,485,536.75 is: 366,328,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159,074.56 : 173,485,536.75 = 173,485,536.75 : x
  2. Step 2: Convert to fraction form
    82,159,074.56/173,485,536.75 = 173,485,536.75/x
  3. Step 3: Cross multiply
    82,159,074.56x = 173,485,536.75 × 173,485,536.75
  4. Step 4: Simplify right side
    82,159,074.56x = 30,097,231,461,435,600
  5. Step 5: Solve for x
    x = 30,097,231,461,435,600/82,159,074.56
  6. Step 6: Final answer
    x = 366,328,754.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.