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Finding the Third Proportional to 90,958 and 196,862

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Solution

The third proportional to 90,958 and 196,862 is: 426,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,958 : 196,862 = 196,862 : x
  2. Step 2: Convert to fraction form
    90,958/196,862 = 196,862/x
  3. Step 3: Cross multiply
    90,958x = 196,862 × 196,862
  4. Step 4: Simplify right side
    90,958x = 38,754,647,044
  5. Step 5: Solve for x
    x = 38,754,647,044/90,958
  6. Step 6: Final answer
    x = 426,071.89

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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.