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Finding the Third Proportional to 91,771 and 207,488

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Solution

The third proportional to 91,771 and 207,488 is: 469,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,771 : 207,488 = 207,488 : x
  2. Step 2: Convert to fraction form
    91,771/207,488 = 207,488/x
  3. Step 3: Cross multiply
    91,771x = 207,488 × 207,488
  4. Step 4: Simplify right side
    91,771x = 43,051,270,144
  5. Step 5: Solve for x
    x = 43,051,270,144/91,771
  6. Step 6: Final answer
    x = 469,116.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.