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Finding the Third Proportional to 90,690 and 194,482

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Solution

The third proportional to 90,690 and 194,482 is: 417,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,690 : 194,482 = 194,482 : x
  2. Step 2: Convert to fraction form
    90,690/194,482 = 194,482/x
  3. Step 3: Cross multiply
    90,690x = 194,482 × 194,482
  4. Step 4: Simplify right side
    90,690x = 37,823,248,324
  5. Step 5: Solve for x
    x = 37,823,248,324/90,690
  6. Step 6: Final answer
    x = 417,060.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.