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Finding the Third Proportional to 88,411.50 and 180,907.88

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Solution

The third proportional to 88,411.50 and 180,907.88 is: 370,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,411.50 : 180,907.88 = 180,907.88 : x
  2. Step 2: Convert to fraction form
    88,411.50/180,907.88 = 180,907.88/x
  3. Step 3: Cross multiply
    88,411.50x = 180,907.88 × 180,907.88
  4. Step 4: Simplify right side
    88,411.50x = 32,727,659,237.02
  5. Step 5: Solve for x
    x = 32,727,659,237.02/88,411.50
  6. Step 6: Final answer
    x = 370,174.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.