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Finding the Third Proportional to 92,363 and 199,463

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Solution

The third proportional to 92,363 and 199,463 is: 430,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,363 : 199,463 = 199,463 : x
  2. Step 2: Convert to fraction form
    92,363/199,463 = 199,463/x
  3. Step 3: Cross multiply
    92,363x = 199,463 × 199,463
  4. Step 4: Simplify right side
    92,363x = 39,785,488,369
  5. Step 5: Solve for x
    x = 39,785,488,369/92,363
  6. Step 6: Final answer
    x = 430,751.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.