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Finding the Third Proportional to 92,904 and 200,711

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Solution

The third proportional to 92,904 and 200,711 is: 433,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,904 : 200,711 = 200,711 : x
  2. Step 2: Convert to fraction form
    92,904/200,711 = 200,711/x
  3. Step 3: Cross multiply
    92,904x = 200,711 × 200,711
  4. Step 4: Simplify right side
    92,904x = 40,284,905,521
  5. Step 5: Solve for x
    x = 40,284,905,521/92,904
  6. Step 6: Final answer
    x = 433,618.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.