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Finding the Third Proportional to 92,347 and 199,462

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Solution

The third proportional to 92,347 and 199,462 is: 430,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,347 : 199,462 = 199,462 : x
  2. Step 2: Convert to fraction form
    92,347/199,462 = 199,462/x
  3. Step 3: Cross multiply
    92,347x = 199,462 × 199,462
  4. Step 4: Simplify right side
    92,347x = 39,785,089,444
  5. Step 5: Solve for x
    x = 39,785,089,444/92,347
  6. Step 6: Final answer
    x = 430,821.68

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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.