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Finding the Third Proportional to 92,347 and 199,426

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Solution

The third proportional to 92,347 and 199,426 is: 430,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,347 : 199,426 = 199,426 : x
  2. Step 2: Convert to fraction form
    92,347/199,426 = 199,426/x
  3. Step 3: Cross multiply
    92,347x = 199,426 × 199,426
  4. Step 4: Simplify right side
    92,347x = 39,770,729,476
  5. Step 5: Solve for x
    x = 39,770,729,476/92,347
  6. Step 6: Final answer
    x = 430,666.18

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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.