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Finding the Third Proportional to 96,465 and 208,968

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Solution

The third proportional to 96,465 and 208,968 is: 452,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465 : 208,968 = 208,968 : x
  2. Step 2: Convert to fraction form
    96,465/208,968 = 208,968/x
  3. Step 3: Cross multiply
    96,465x = 208,968 × 208,968
  4. Step 4: Simplify right side
    96,465x = 43,667,625,024
  5. Step 5: Solve for x
    x = 43,667,625,024/96,465
  6. Step 6: Final answer
    x = 452,678.43

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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.