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Finding the Third Proportional to 96,488 and 209,968

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Solution

The third proportional to 96,488 and 209,968 is: 456,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,488 : 209,968 = 209,968 : x
  2. Step 2: Convert to fraction form
    96,488/209,968 = 209,968/x
  3. Step 3: Cross multiply
    96,488x = 209,968 × 209,968
  4. Step 4: Simplify right side
    96,488x = 44,086,561,024
  5. Step 5: Solve for x
    x = 44,086,561,024/96,488
  6. Step 6: Final answer
    x = 456,912.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.