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Finding the Third Proportional to 45,394.50 and 99,747

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Solution

The third proportional to 45,394.50 and 99,747 is: 219,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,394.50 : 99,747 = 99,747 : x
  2. Step 2: Convert to fraction form
    45,394.50/99,747 = 99,747/x
  3. Step 3: Cross multiply
    45,394.50x = 99,747 × 99,747
  4. Step 4: Simplify right side
    45,394.50x = 9,949,464,009
  5. Step 5: Solve for x
    x = 9,949,464,009/45,394.50
  6. Step 6: Final answer
    x = 219,177.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.