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Finding the Third Proportional to 89,849.25 and 213,657.75

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Solution

The third proportional to 89,849.25 and 213,657.75 is: 508,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,849.25 : 213,657.75 = 213,657.75 : x
  2. Step 2: Convert to fraction form
    89,849.25/213,657.75 = 213,657.75/x
  3. Step 3: Cross multiply
    89,849.25x = 213,657.75 × 213,657.75
  4. Step 4: Simplify right side
    89,849.25x = 45,649,634,135.06
  5. Step 5: Solve for x
    x = 45,649,634,135.06/89,849.25
  6. Step 6: Final answer
    x = 508,069.17

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.