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Finding the Third Proportional to 91,207 and 196,988

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Solution

The third proportional to 91,207 and 196,988 is: 425,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,207 : 196,988 = 196,988 : x
  2. Step 2: Convert to fraction form
    91,207/196,988 = 196,988/x
  3. Step 3: Cross multiply
    91,207x = 196,988 × 196,988
  4. Step 4: Simplify right side
    91,207x = 38,804,272,144
  5. Step 5: Solve for x
    x = 38,804,272,144/91,207
  6. Step 6: Final answer
    x = 425,452.78

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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.