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Finding the Third Proportional to 92,138 and 200,953

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Solution

The third proportional to 92,138 and 200,953 is: 438,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138 : 200,953 = 200,953 : x
  2. Step 2: Convert to fraction form
    92,138/200,953 = 200,953/x
  3. Step 3: Cross multiply
    92,138x = 200,953 × 200,953
  4. Step 4: Simplify right side
    92,138x = 40,382,108,209
  5. Step 5: Solve for x
    x = 40,382,108,209/92,138
  6. Step 6: Final answer
    x = 438,278.54

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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.