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Finding the Third Proportional to 42,380.09 and 93,234.80

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Solution

The third proportional to 42,380.09 and 93,234.80 is: 205,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.09 : 93,234.80 = 93,234.80 : x
  2. Step 2: Convert to fraction form
    42,380.09/93,234.80 = 93,234.80/x
  3. Step 3: Cross multiply
    42,380.09x = 93,234.80 × 93,234.80
  4. Step 4: Simplify right side
    42,380.09x = 8,692,727,348.32
  5. Step 5: Solve for x
    x = 8,692,727,348.32/42,380.09
  6. Step 6: Final answer
    x = 205,113.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.