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Finding the Third Proportional to 92,964 and 200,832

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Solution

The third proportional to 92,964 and 200,832 is: 433,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,964 : 200,832 = 200,832 : x
  2. Step 2: Convert to fraction form
    92,964/200,832 = 200,832/x
  3. Step 3: Cross multiply
    92,964x = 200,832 × 200,832
  4. Step 4: Simplify right side
    92,964x = 40,333,492,224
  5. Step 5: Solve for x
    x = 40,333,492,224/92,964
  6. Step 6: Final answer
    x = 433,861.41

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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.