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Finding the Third Proportional to 95,706 and 209,550

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Solution

The third proportional to 95,706 and 209,550 is: 458,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,706 : 209,550 = 209,550 : x
  2. Step 2: Convert to fraction form
    95,706/209,550 = 209,550/x
  3. Step 3: Cross multiply
    95,706x = 209,550 × 209,550
  4. Step 4: Simplify right side
    95,706x = 43,911,202,500
  5. Step 5: Solve for x
    x = 43,911,202,500/95,706
  6. Step 6: Final answer
    x = 458,813.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.