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Finding the Third Proportional to 94,947 and 147,605.50

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Solution

The third proportional to 94,947 and 147,605.50 is: 229,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,947 : 147,605.50 = 147,605.50 : x
  2. Step 2: Convert to fraction form
    94,947/147,605.50 = 147,605.50/x
  3. Step 3: Cross multiply
    94,947x = 147,605.50 × 147,605.50
  4. Step 4: Simplify right side
    94,947x = 21,787,383,630.25
  5. Step 5: Solve for x
    x = 21,787,383,630.25/94,947
  6. Step 6: Final answer
    x = 229,468.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.