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Finding the Third Proportional to 90,031 and 194,017

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Solution

The third proportional to 90,031 and 194,017 is: 418,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031 : 194,017 = 194,017 : x
  2. Step 2: Convert to fraction form
    90,031/194,017 = 194,017/x
  3. Step 3: Cross multiply
    90,031x = 194,017 × 194,017
  4. Step 4: Simplify right side
    90,031x = 37,642,596,289
  5. Step 5: Solve for x
    x = 37,642,596,289/90,031
  6. Step 6: Final answer
    x = 418,107.06

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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.