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Finding the Third Proportional to 92,185 and 201,057

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Solution

The third proportional to 92,185 and 201,057 is: 438,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,185 : 201,057 = 201,057 : x
  2. Step 2: Convert to fraction form
    92,185/201,057 = 201,057/x
  3. Step 3: Cross multiply
    92,185x = 201,057 × 201,057
  4. Step 4: Simplify right side
    92,185x = 40,423,917,249
  5. Step 5: Solve for x
    x = 40,423,917,249/92,185
  6. Step 6: Final answer
    x = 438,508.62

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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.