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Finding the Third Proportional to 40,188.38 and 85,705.88

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Solution

The third proportional to 40,188.38 and 85,705.88 is: 182,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,188.38 : 85,705.88 = 85,705.88 : x
  2. Step 2: Convert to fraction form
    40,188.38/85,705.88 = 85,705.88/x
  3. Step 3: Cross multiply
    40,188.38x = 85,705.88 × 85,705.88
  4. Step 4: Simplify right side
    40,188.38x = 7,345,497,009.52
  5. Step 5: Solve for x
    x = 7,345,497,009.52/40,188.38
  6. Step 6: Final answer
    x = 182,776.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.