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Finding the Third Proportional to 92,184 and 193,638

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Solution

The third proportional to 92,184 and 193,638 is: 406,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184 : 193,638 = 193,638 : x
  2. Step 2: Convert to fraction form
    92,184/193,638 = 193,638/x
  3. Step 3: Cross multiply
    92,184x = 193,638 × 193,638
  4. Step 4: Simplify right side
    92,184x = 37,495,675,044
  5. Step 5: Solve for x
    x = 37,495,675,044/92,184
  6. Step 6: Final answer
    x = 406,748.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.