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Finding the Third Proportional to 45,931.50 and 98,424.75

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Solution

The third proportional to 45,931.50 and 98,424.75 is: 210,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,931.50 : 98,424.75 = 98,424.75 : x
  2. Step 2: Convert to fraction form
    45,931.50/98,424.75 = 98,424.75/x
  3. Step 3: Cross multiply
    45,931.50x = 98,424.75 × 98,424.75
  4. Step 4: Simplify right side
    45,931.50x = 9,687,431,412.56
  5. Step 5: Solve for x
    x = 9,687,431,412.56/45,931.50
  6. Step 6: Final answer
    x = 210,910.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.