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Finding the Third Proportional to 92,223 and 202,968

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Solution

The third proportional to 92,223 and 202,968 is: 446,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223 : 202,968 = 202,968 : x
  2. Step 2: Convert to fraction form
    92,223/202,968 = 202,968/x
  3. Step 3: Cross multiply
    92,223x = 202,968 × 202,968
  4. Step 4: Simplify right side
    92,223x = 41,196,009,024
  5. Step 5: Solve for x
    x = 41,196,009,024/92,223
  6. Step 6: Final answer
    x = 446,699.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.