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Finding the Third Proportional to 92,371 and 199,156

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Solution

The third proportional to 92,371 and 199,156 is: 429,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,371 : 199,156 = 199,156 : x
  2. Step 2: Convert to fraction form
    92,371/199,156 = 199,156/x
  3. Step 3: Cross multiply
    92,371x = 199,156 × 199,156
  4. Step 4: Simplify right side
    92,371x = 39,663,112,336
  5. Step 5: Solve for x
    x = 39,663,112,336/92,371
  6. Step 6: Final answer
    x = 429,389.23

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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.