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Finding the Third Proportional to 92,147 and 200,968

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Solution

The third proportional to 92,147 and 200,968 is: 438,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,147 : 200,968 = 200,968 : x
  2. Step 2: Convert to fraction form
    92,147/200,968 = 200,968/x
  3. Step 3: Cross multiply
    92,147x = 200,968 × 200,968
  4. Step 4: Simplify right side
    92,147x = 40,388,137,024
  5. Step 5: Solve for x
    x = 40,388,137,024/92,147
  6. Step 6: Final answer
    x = 438,301.16

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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.