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Finding the Third Proportional to 96,460 and 208,516

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Solution

The third proportional to 96,460 and 208,516 is: 450,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,460 : 208,516 = 208,516 : x
  2. Step 2: Convert to fraction form
    96,460/208,516 = 208,516/x
  3. Step 3: Cross multiply
    96,460x = 208,516 × 208,516
  4. Step 4: Simplify right side
    96,460x = 43,478,922,256
  5. Step 5: Solve for x
    x = 43,478,922,256/96,460
  6. Step 6: Final answer
    x = 450,745.62

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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.