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Finding the Third Proportional to 108,504.75 and 237,697.13

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Solution

The third proportional to 108,504.75 and 237,697.13 is: 520,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,504.75 : 237,697.13 = 237,697.13 : x
  2. Step 2: Convert to fraction form
    108,504.75/237,697.13 = 237,697.13/x
  3. Step 3: Cross multiply
    108,504.75x = 237,697.13 × 237,697.13
  4. Step 4: Simplify right side
    108,504.75x = 56,499,923,233.27
  5. Step 5: Solve for x
    x = 56,499,923,233.27/108,504.75
  6. Step 6: Final answer
    x = 520,713.82

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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.