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Finding the Third Proportional to 96,136 and 208,488

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Solution

The third proportional to 96,136 and 208,488 is: 452,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136 : 208,488 = 208,488 : x
  2. Step 2: Convert to fraction form
    96,136/208,488 = 208,488/x
  3. Step 3: Cross multiply
    96,136x = 208,488 × 208,488
  4. Step 4: Simplify right side
    96,136x = 43,467,246,144
  5. Step 5: Solve for x
    x = 43,467,246,144/96,136
  6. Step 6: Final answer
    x = 452,143.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.