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Finding the Third Proportional to 90,798.75 and 210,999.38

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Solution

The third proportional to 90,798.75 and 210,999.38 is: 490,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798.75 : 210,999.38 = 210,999.38 : x
  2. Step 2: Convert to fraction form
    90,798.75/210,999.38 = 210,999.38/x
  3. Step 3: Cross multiply
    90,798.75x = 210,999.38 × 210,999.38
  4. Step 4: Simplify right side
    90,798.75x = 44,520,736,250.39
  5. Step 5: Solve for x
    x = 44,520,736,250.39/90,798.75
  6. Step 6: Final answer
    x = 490,323.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.