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Finding the Third Proportional to 89,030.39 and 181,357.73

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Solution

The third proportional to 89,030.39 and 181,357.73 is: 369,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,030.39 : 181,357.73 = 181,357.73 : x
  2. Step 2: Convert to fraction form
    89,030.39/181,357.73 = 181,357.73/x
  3. Step 3: Cross multiply
    89,030.39x = 181,357.73 × 181,357.73
  4. Step 4: Simplify right side
    89,030.39x = 32,890,627,817.63
  5. Step 5: Solve for x
    x = 32,890,627,817.63/89,030.39
  6. Step 6: Final answer
    x = 369,431.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.