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Finding the Third Proportional to 95,964 and 209,412

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Solution

The third proportional to 95,964 and 209,412 is: 456,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,964 : 209,412 = 209,412 : x
  2. Step 2: Convert to fraction form
    95,964/209,412 = 209,412/x
  3. Step 3: Cross multiply
    95,964x = 209,412 × 209,412
  4. Step 4: Simplify right side
    95,964x = 43,853,385,744
  5. Step 5: Solve for x
    x = 43,853,385,744/95,964
  6. Step 6: Final answer
    x = 456,977.47

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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.