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Finding the Third Proportional to 91,998 and 203,649.75

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Solution

The third proportional to 91,998 and 203,649.75 is: 450,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,998 : 203,649.75 = 203,649.75 : x
  2. Step 2: Convert to fraction form
    91,998/203,649.75 = 203,649.75/x
  3. Step 3: Cross multiply
    91,998x = 203,649.75 × 203,649.75
  4. Step 4: Simplify right side
    91,998x = 41,473,220,675.06
  5. Step 5: Solve for x
    x = 41,473,220,675.06/91,998
  6. Step 6: Final answer
    x = 450,805.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.