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Finding the Third Proportional to 70,940.81 and 152,953.31

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Solution

The third proportional to 70,940.81 and 152,953.31 is: 329,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.81 : 152,953.31 = 152,953.31 : x
  2. Step 2: Convert to fraction form
    70,940.81/152,953.31 = 152,953.31/x
  3. Step 3: Cross multiply
    70,940.81x = 152,953.31 × 152,953.31
  4. Step 4: Simplify right side
    70,940.81x = 23,394,715,804.72
  5. Step 5: Solve for x
    x = 23,394,715,804.72/70,940.81
  6. Step 6: Final answer
    x = 329,777.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.