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Finding the Third Proportional to 91,891 and 197,862

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Solution

The third proportional to 91,891 and 197,862 is: 426,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,891 : 197,862 = 197,862 : x
  2. Step 2: Convert to fraction form
    91,891/197,862 = 197,862/x
  3. Step 3: Cross multiply
    91,891x = 197,862 × 197,862
  4. Step 4: Simplify right side
    91,891x = 39,149,371,044
  5. Step 5: Solve for x
    x = 39,149,371,044/91,891
  6. Step 6: Final answer
    x = 426,041.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.