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Finding the Third Proportional to 92,659 and 202,310

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Solution

The third proportional to 92,659 and 202,310 is: 441,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,659 : 202,310 = 202,310 : x
  2. Step 2: Convert to fraction form
    92,659/202,310 = 202,310/x
  3. Step 3: Cross multiply
    92,659x = 202,310 × 202,310
  4. Step 4: Simplify right side
    92,659x = 40,929,336,100
  5. Step 5: Solve for x
    x = 40,929,336,100/92,659
  6. Step 6: Final answer
    x = 441,720.03

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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.