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Finding the Third Proportional to 100,737.50 and 220,850

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Solution

The third proportional to 100,737.50 and 220,850 is: 484,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,737.50 : 220,850 = 220,850 : x
  2. Step 2: Convert to fraction form
    100,737.50/220,850 = 220,850/x
  3. Step 3: Cross multiply
    100,737.50x = 220,850 × 220,850
  4. Step 4: Simplify right side
    100,737.50x = 48,774,722,500
  5. Step 5: Solve for x
    x = 48,774,722,500/100,737.50
  6. Step 6: Final answer
    x = 484,176.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.