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Finding the Third Proportional to 92,665.50 and 201,963

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Solution

The third proportional to 92,665.50 and 201,963 is: 440,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,665.50 : 201,963 = 201,963 : x
  2. Step 2: Convert to fraction form
    92,665.50/201,963 = 201,963/x
  3. Step 3: Cross multiply
    92,665.50x = 201,963 × 201,963
  4. Step 4: Simplify right side
    92,665.50x = 40,789,053,369
  5. Step 5: Solve for x
    x = 40,789,053,369/92,665.50
  6. Step 6: Final answer
    x = 440,175.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.