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Finding the Third Proportional to 96,418 and 207,653

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Solution

The third proportional to 96,418 and 207,653 is: 447,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,418 : 207,653 = 207,653 : x
  2. Step 2: Convert to fraction form
    96,418/207,653 = 207,653/x
  3. Step 3: Cross multiply
    96,418x = 207,653 × 207,653
  4. Step 4: Simplify right side
    96,418x = 43,119,768,409
  5. Step 5: Solve for x
    x = 43,119,768,409/96,418
  6. Step 6: Final answer
    x = 447,217.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.