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Finding the Third Proportional to 92,402 and 194,463

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Solution

The third proportional to 92,402 and 194,463 is: 409,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,402 : 194,463 = 194,463 : x
  2. Step 2: Convert to fraction form
    92,402/194,463 = 194,463/x
  3. Step 3: Cross multiply
    92,402x = 194,463 × 194,463
  4. Step 4: Simplify right side
    92,402x = 37,815,858,369
  5. Step 5: Solve for x
    x = 37,815,858,369/92,402
  6. Step 6: Final answer
    x = 409,253.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.