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Finding the Third Proportional to 106,549.50 and 229,704

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Solution

The third proportional to 106,549.50 and 229,704 is: 495,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,549.50 : 229,704 = 229,704 : x
  2. Step 2: Convert to fraction form
    106,549.50/229,704 = 229,704/x
  3. Step 3: Cross multiply
    106,549.50x = 229,704 × 229,704
  4. Step 4: Simplify right side
    106,549.50x = 52,763,927,616
  5. Step 5: Solve for x
    x = 52,763,927,616/106,549.50
  6. Step 6: Final answer
    x = 495,205.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.