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Finding the Third Proportional to 91,769 and 207,483

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Solution

The third proportional to 91,769 and 207,483 is: 469,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769 : 207,483 = 207,483 : x
  2. Step 2: Convert to fraction form
    91,769/207,483 = 207,483/x
  3. Step 3: Cross multiply
    91,769x = 207,483 × 207,483
  4. Step 4: Simplify right side
    91,769x = 43,049,195,289
  5. Step 5: Solve for x
    x = 43,049,195,289/91,769
  6. Step 6: Final answer
    x = 469,103.89

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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.