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Finding the Third Proportional to 92,103 and 200,858

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Solution

The third proportional to 92,103 and 200,858 is: 438,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,103 : 200,858 = 200,858 : x
  2. Step 2: Convert to fraction form
    92,103/200,858 = 200,858/x
  3. Step 3: Cross multiply
    92,103x = 200,858 × 200,858
  4. Step 4: Simplify right side
    92,103x = 40,343,936,164
  5. Step 5: Solve for x
    x = 40,343,936,164/92,103
  6. Step 6: Final answer
    x = 438,030.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.