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Finding the Third Proportional to 150,772,736.81 and 326,581,463.67

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Solution

The third proportional to 150,772,736.81 and 326,581,463.67 is: 707,392,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,772,736.81 : 326,581,463.67 = 326,581,463.67 : x
  2. Step 2: Convert to fraction form
    150,772,736.81/326,581,463.67 = 326,581,463.67/x
  3. Step 3: Cross multiply
    150,772,736.81x = 326,581,463.67 × 326,581,463.67
  4. Step 4: Simplify right side
    150,772,736.81x = 106,655,452,414,067,488
  5. Step 5: Solve for x
    x = 106,655,452,414,067,488/150,772,736.81
  6. Step 6: Final answer
    x = 707,392,162.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.