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Finding the Third Proportional to 92,768 and 203,288

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Solution

The third proportional to 92,768 and 203,288 is: 445,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,768 : 203,288 = 203,288 : x
  2. Step 2: Convert to fraction form
    92,768/203,288 = 203,288/x
  3. Step 3: Cross multiply
    92,768x = 203,288 × 203,288
  4. Step 4: Simplify right side
    92,768x = 41,326,010,944
  5. Step 5: Solve for x
    x = 41,326,010,944/92,768
  6. Step 6: Final answer
    x = 445,477.01

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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.