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Finding the Third Proportional to 96,468 and 208,534

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Solution

The third proportional to 96,468 and 208,534 is: 450,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468 : 208,534 = 208,534 : x
  2. Step 2: Convert to fraction form
    96,468/208,534 = 208,534/x
  3. Step 3: Cross multiply
    96,468x = 208,534 × 208,534
  4. Step 4: Simplify right side
    96,468x = 43,486,429,156
  5. Step 5: Solve for x
    x = 43,486,429,156/96,468
  6. Step 6: Final answer
    x = 450,786.06

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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.