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Finding the Third Proportional to 45,778 and 100,304

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Solution

The third proportional to 45,778 and 100,304 is: 219,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778 : 100,304 = 100,304 : x
  2. Step 2: Convert to fraction form
    45,778/100,304 = 100,304/x
  3. Step 3: Cross multiply
    45,778x = 100,304 × 100,304
  4. Step 4: Simplify right side
    45,778x = 10,060,892,416
  5. Step 5: Solve for x
    x = 10,060,892,416/45,778
  6. Step 6: Final answer
    x = 219,775.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.