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Finding the Third Proportional to 93,832 and 191,482

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Solution

The third proportional to 93,832 and 191,482 is: 390,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,832 : 191,482 = 191,482 : x
  2. Step 2: Convert to fraction form
    93,832/191,482 = 191,482/x
  3. Step 3: Cross multiply
    93,832x = 191,482 × 191,482
  4. Step 4: Simplify right side
    93,832x = 36,665,356,324
  5. Step 5: Solve for x
    x = 36,665,356,324/93,832
  6. Step 6: Final answer
    x = 390,755.35

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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.