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Finding the Third Proportional to 88,778.53 and 209,541.94

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Solution

The third proportional to 88,778.53 and 209,541.94 is: 494,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,778.53 : 209,541.94 = 209,541.94 : x
  2. Step 2: Convert to fraction form
    88,778.53/209,541.94 = 209,541.94/x
  3. Step 3: Cross multiply
    88,778.53x = 209,541.94 × 209,541.94
  4. Step 4: Simplify right side
    88,778.53x = 43,907,823,571.25
  5. Step 5: Solve for x
    x = 43,907,823,571.25/88,778.53
  6. Step 6: Final answer
    x = 494,577.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.