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Finding the Third Proportional to 90,798.38 and 210,998.25

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Solution

The third proportional to 90,798.38 and 210,998.25 is: 490,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798.38 : 210,998.25 = 210,998.25 : x
  2. Step 2: Convert to fraction form
    90,798.38/210,998.25 = 210,998.25/x
  3. Step 3: Cross multiply
    90,798.38x = 210,998.25 × 210,998.25
  4. Step 4: Simplify right side
    90,798.38x = 44,520,261,503.06
  5. Step 5: Solve for x
    x = 44,520,261,503.06/90,798.38
  6. Step 6: Final answer
    x = 490,320.03

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