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Finding the Third Proportional to 45,123.05 and 96,651.84

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Solution

The third proportional to 45,123.05 and 96,651.84 is: 207,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.05 : 96,651.84 = 96,651.84 : x
  2. Step 2: Convert to fraction form
    45,123.05/96,651.84 = 96,651.84/x
  3. Step 3: Cross multiply
    45,123.05x = 96,651.84 × 96,651.84
  4. Step 4: Simplify right side
    45,123.05x = 9,341,578,900.27
  5. Step 5: Solve for x
    x = 9,341,578,900.27/45,123.05
  6. Step 6: Final answer
    x = 207,024.56

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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.