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Finding the Third Proportional to 113,890.50 and 227,646

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Solution

The third proportional to 113,890.50 and 227,646 is: 455,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,890.50 : 227,646 = 227,646 : x
  2. Step 2: Convert to fraction form
    113,890.50/227,646 = 227,646/x
  3. Step 3: Cross multiply
    113,890.50x = 227,646 × 227,646
  4. Step 4: Simplify right side
    113,890.50x = 51,822,701,316
  5. Step 5: Solve for x
    x = 51,822,701,316/113,890.50
  6. Step 6: Final answer
    x = 455,022.16

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.