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Finding the Third Proportional to 95,955 and 209,376

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Solution

The third proportional to 95,955 and 209,376 is: 456,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,955 : 209,376 = 209,376 : x
  2. Step 2: Convert to fraction form
    95,955/209,376 = 209,376/x
  3. Step 3: Cross multiply
    95,955x = 209,376 × 209,376
  4. Step 4: Simplify right side
    95,955x = 43,838,309,376
  5. Step 5: Solve for x
    x = 43,838,309,376/95,955
  6. Step 6: Final answer
    x = 456,863.21

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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.