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Finding the Third Proportional to 103,732.69 and 211,272.38

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Solution

The third proportional to 103,732.69 and 211,272.38 is: 430,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,732.69 : 211,272.38 = 211,272.38 : x
  2. Step 2: Convert to fraction form
    103,732.69/211,272.38 = 211,272.38/x
  3. Step 3: Cross multiply
    103,732.69x = 211,272.38 × 211,272.38
  4. Step 4: Simplify right side
    103,732.69x = 44,636,016,438.14
  5. Step 5: Solve for x
    x = 44,636,016,438.14/103,732.69
  6. Step 6: Final answer
    x = 430,298.47

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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.