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Finding the Third Proportional to 92,963 and 200,830

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Solution

The third proportional to 92,963 and 200,830 is: 433,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,963 : 200,830 = 200,830 : x
  2. Step 2: Convert to fraction form
    92,963/200,830 = 200,830/x
  3. Step 3: Cross multiply
    92,963x = 200,830 × 200,830
  4. Step 4: Simplify right side
    92,963x = 40,332,688,900
  5. Step 5: Solve for x
    x = 40,332,688,900/92,963
  6. Step 6: Final answer
    x = 433,857.44

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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.