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Finding the Third Proportional to 92,663 and 202,318

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Solution

The third proportional to 92,663 and 202,318 is: 441,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,663 : 202,318 = 202,318 : x
  2. Step 2: Convert to fraction form
    92,663/202,318 = 202,318/x
  3. Step 3: Cross multiply
    92,663x = 202,318 × 202,318
  4. Step 4: Simplify right side
    92,663x = 40,932,573,124
  5. Step 5: Solve for x
    x = 40,932,573,124/92,663
  6. Step 6: Final answer
    x = 441,735.89

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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.