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Finding the Third Proportional to 92,580 and 201,886

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Solution

The third proportional to 92,580 and 201,886 is: 440,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,580 : 201,886 = 201,886 : x
  2. Step 2: Convert to fraction form
    92,580/201,886 = 201,886/x
  3. Step 3: Cross multiply
    92,580x = 201,886 × 201,886
  4. Step 4: Simplify right side
    92,580x = 40,757,956,996
  5. Step 5: Solve for x
    x = 40,757,956,996/92,580
  6. Step 6: Final answer
    x = 440,245.81

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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.