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Finding the Third Proportional to 113,137 and 223,419.50

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Solution

The third proportional to 113,137 and 223,419.50 is: 441,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,137 : 223,419.50 = 223,419.50 : x
  2. Step 2: Convert to fraction form
    113,137/223,419.50 = 223,419.50/x
  3. Step 3: Cross multiply
    113,137x = 223,419.50 × 223,419.50
  4. Step 4: Simplify right side
    113,137x = 49,916,272,980.25
  5. Step 5: Solve for x
    x = 49,916,272,980.25/113,137
  6. Step 6: Final answer
    x = 441,202.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.