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Finding the Third Proportional to 96,468 and 208,532

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Solution

The third proportional to 96,468 and 208,532 is: 450,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468 : 208,532 = 208,532 : x
  2. Step 2: Convert to fraction form
    96,468/208,532 = 208,532/x
  3. Step 3: Cross multiply
    96,468x = 208,532 × 208,532
  4. Step 4: Simplify right side
    96,468x = 43,485,595,024
  5. Step 5: Solve for x
    x = 43,485,595,024/96,468
  6. Step 6: Final answer
    x = 450,777.41

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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.