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Finding the Third Proportional to 113,700.38 and 189,483.75

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Solution

The third proportional to 113,700.38 and 189,483.75 is: 315,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,700.38 : 189,483.75 = 189,483.75 : x
  2. Step 2: Convert to fraction form
    113,700.38/189,483.75 = 189,483.75/x
  3. Step 3: Cross multiply
    113,700.38x = 189,483.75 × 189,483.75
  4. Step 4: Simplify right side
    113,700.38x = 35,904,091,514.06
  5. Step 5: Solve for x
    x = 35,904,091,514.06/113,700.38
  6. Step 6: Final answer
    x = 315,778.13

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.