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Finding the Third Proportional to 163,616 and 223,895.50

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Solution

The third proportional to 163,616 and 223,895.50 is: 306,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,616 : 223,895.50 = 223,895.50 : x
  2. Step 2: Convert to fraction form
    163,616/223,895.50 = 223,895.50/x
  3. Step 3: Cross multiply
    163,616x = 223,895.50 × 223,895.50
  4. Step 4: Simplify right side
    163,616x = 50,129,194,920.25
  5. Step 5: Solve for x
    x = 50,129,194,920.25/163,616
  6. Step 6: Final answer
    x = 306,383.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.