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Finding the Third Proportional to 45,125.44 and 97,246.41

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Solution

The third proportional to 45,125.44 and 97,246.41 is: 209,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,125.44 : 97,246.41 = 97,246.41 : x
  2. Step 2: Convert to fraction form
    45,125.44/97,246.41 = 97,246.41/x
  3. Step 3: Cross multiply
    45,125.44x = 97,246.41 × 97,246.41
  4. Step 4: Simplify right side
    45,125.44x = 9,456,863,528.54
  5. Step 5: Solve for x
    x = 9,456,863,528.54/45,125.44
  6. Step 6: Final answer
    x = 209,568.35

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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.