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Finding the Third Proportional to 88,426.69 and 190,972.69

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Solution

The third proportional to 88,426.69 and 190,972.69 is: 412,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,426.69 : 190,972.69 = 190,972.69 : x
  2. Step 2: Convert to fraction form
    88,426.69/190,972.69 = 190,972.69/x
  3. Step 3: Cross multiply
    88,426.69x = 190,972.69 × 190,972.69
  4. Step 4: Simplify right side
    88,426.69x = 36,470,567,370.97
  5. Step 5: Solve for x
    x = 36,470,567,370.97/88,426.69
  6. Step 6: Final answer
    x = 412,438.47

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Why These Related Problems?

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