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Finding the Third Proportional to 98,763.86 and 216,751.66

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Solution

The third proportional to 98,763.86 and 216,751.66 is: 475,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,763.86 : 216,751.66 = 216,751.66 : x
  2. Step 2: Convert to fraction form
    98,763.86/216,751.66 = 216,751.66/x
  3. Step 3: Cross multiply
    98,763.86x = 216,751.66 × 216,751.66
  4. Step 4: Simplify right side
    98,763.86x = 46,981,283,238.85
  5. Step 5: Solve for x
    x = 46,981,283,238.85/98,763.86
  6. Step 6: Final answer
    x = 475,693.04

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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.