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Finding the Third Proportional to 89,416 and 193,354

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Solution

The third proportional to 89,416 and 193,354 is: 418,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,416 : 193,354 = 193,354 : x
  2. Step 2: Convert to fraction form
    89,416/193,354 = 193,354/x
  3. Step 3: Cross multiply
    89,416x = 193,354 × 193,354
  4. Step 4: Simplify right side
    89,416x = 37,385,769,316
  5. Step 5: Solve for x
    x = 37,385,769,316/89,416
  6. Step 6: Final answer
    x = 418,110.51

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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.