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Finding the Third Proportional to 92,240 and 199,009

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Solution

The third proportional to 92,240 and 199,009 is: 429,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,240 : 199,009 = 199,009 : x
  2. Step 2: Convert to fraction form
    92,240/199,009 = 199,009/x
  3. Step 3: Cross multiply
    92,240x = 199,009 × 199,009
  4. Step 4: Simplify right side
    92,240x = 39,604,582,081
  5. Step 5: Solve for x
    x = 39,604,582,081/92,240
  6. Step 6: Final answer
    x = 429,364.51

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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.