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Finding the Third Proportional to 93,829 and 191,477

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Solution

The third proportional to 93,829 and 191,477 is: 390,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,829 : 191,477 = 191,477 : x
  2. Step 2: Convert to fraction form
    93,829/191,477 = 191,477/x
  3. Step 3: Cross multiply
    93,829x = 191,477 × 191,477
  4. Step 4: Simplify right side
    93,829x = 36,663,441,529
  5. Step 5: Solve for x
    x = 36,663,441,529/93,829
  6. Step 6: Final answer
    x = 390,747.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.