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Finding the Third Proportional to 109,063.50 and 230,701.88

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Solution

The third proportional to 109,063.50 and 230,701.88 is: 488,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,063.50 : 230,701.88 = 230,701.88 : x
  2. Step 2: Convert to fraction form
    109,063.50/230,701.88 = 230,701.88/x
  3. Step 3: Cross multiply
    109,063.50x = 230,701.88 × 230,701.88
  4. Step 4: Simplify right side
    109,063.50x = 53,223,355,128.52
  5. Step 5: Solve for x
    x = 53,223,355,128.52/109,063.50
  6. Step 6: Final answer
    x = 488,003.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.