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Finding the Third Proportional to 92,092 and 200,840

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Solution

The third proportional to 92,092 and 200,840 is: 438,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,092 : 200,840 = 200,840 : x
  2. Step 2: Convert to fraction form
    92,092/200,840 = 200,840/x
  3. Step 3: Cross multiply
    92,092x = 200,840 × 200,840
  4. Step 4: Simplify right side
    92,092x = 40,336,705,600
  5. Step 5: Solve for x
    x = 40,336,705,600/92,092
  6. Step 6: Final answer
    x = 438,004.45

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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.