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Finding the Third Proportional to 98,278.88 and 213,243.75

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Solution

The third proportional to 98,278.88 and 213,243.75 is: 462,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,278.88 : 213,243.75 = 213,243.75 : x
  2. Step 2: Convert to fraction form
    98,278.88/213,243.75 = 213,243.75/x
  3. Step 3: Cross multiply
    98,278.88x = 213,243.75 × 213,243.75
  4. Step 4: Simplify right side
    98,278.88x = 45,472,896,914.06
  5. Step 5: Solve for x
    x = 45,472,896,914.06/98,278.88
  6. Step 6: Final answer
    x = 462,692.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.