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Finding the Third Proportional to 93,896 and 194,354

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Solution

The third proportional to 93,896 and 194,354 is: 402,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,896 : 194,354 = 194,354 : x
  2. Step 2: Convert to fraction form
    93,896/194,354 = 194,354/x
  3. Step 3: Cross multiply
    93,896x = 194,354 × 194,354
  4. Step 4: Simplify right side
    93,896x = 37,773,477,316
  5. Step 5: Solve for x
    x = 37,773,477,316/93,896
  6. Step 6: Final answer
    x = 402,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.