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Finding the Third Proportional to 95,666 and 208,556

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Solution

The third proportional to 95,666 and 208,556 is: 454,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 208,556 = 208,556 : x
  2. Step 2: Convert to fraction form
    95,666/208,556 = 208,556/x
  3. Step 3: Cross multiply
    95,666x = 208,556 × 208,556
  4. Step 4: Simplify right side
    95,666x = 43,495,605,136
  5. Step 5: Solve for x
    x = 43,495,605,136/95,666
  6. Step 6: Final answer
    x = 454,661.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.