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Finding the Third Proportional to 91,829 and 197,662

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Solution

The third proportional to 91,829 and 197,662 is: 425,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829 : 197,662 = 197,662 : x
  2. Step 2: Convert to fraction form
    91,829/197,662 = 197,662/x
  3. Step 3: Cross multiply
    91,829x = 197,662 × 197,662
  4. Step 4: Simplify right side
    91,829x = 39,070,266,244
  5. Step 5: Solve for x
    x = 39,070,266,244/91,829
  6. Step 6: Final answer
    x = 425,467.62

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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.