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Finding the Third Proportional to 95,863.50 and 206,752.50

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Solution

The third proportional to 95,863.50 and 206,752.50 is: 445,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863.50 : 206,752.50 = 206,752.50 : x
  2. Step 2: Convert to fraction form
    95,863.50/206,752.50 = 206,752.50/x
  3. Step 3: Cross multiply
    95,863.50x = 206,752.50 × 206,752.50
  4. Step 4: Simplify right side
    95,863.50x = 42,746,596,256.25
  5. Step 5: Solve for x
    x = 42,746,596,256.25/95,863.50
  6. Step 6: Final answer
    x = 445,911.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.