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Finding the Third Proportional to 92,958 and 203,736

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Solution

The third proportional to 92,958 and 203,736 is: 446,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,958 : 203,736 = 203,736 : x
  2. Step 2: Convert to fraction form
    92,958/203,736 = 203,736/x
  3. Step 3: Cross multiply
    92,958x = 203,736 × 203,736
  4. Step 4: Simplify right side
    92,958x = 41,508,357,696
  5. Step 5: Solve for x
    x = 41,508,357,696/92,958
  6. Step 6: Final answer
    x = 446,528.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.