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Finding the Third Proportional to 91,951 and 197,023

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Solution

The third proportional to 91,951 and 197,023 is: 422,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,951 : 197,023 = 197,023 : x
  2. Step 2: Convert to fraction form
    91,951/197,023 = 197,023/x
  3. Step 3: Cross multiply
    91,951x = 197,023 × 197,023
  4. Step 4: Simplify right side
    91,951x = 38,818,062,529
  5. Step 5: Solve for x
    x = 38,818,062,529/91,951
  6. Step 6: Final answer
    x = 422,160.31

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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.