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Finding the Third Proportional to 96,470 and 208,552

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Solution

The third proportional to 96,470 and 208,552 is: 450,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470 : 208,552 = 208,552 : x
  2. Step 2: Convert to fraction form
    96,470/208,552 = 208,552/x
  3. Step 3: Cross multiply
    96,470x = 208,552 × 208,552
  4. Step 4: Simplify right side
    96,470x = 43,493,936,704
  5. Step 5: Solve for x
    x = 43,493,936,704/96,470
  6. Step 6: Final answer
    x = 450,854.53

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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.