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Finding the Third Proportional to 45,651.50 and 99,607.75

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Solution

The third proportional to 45,651.50 and 99,607.75 is: 217,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,651.50 : 99,607.75 = 99,607.75 : x
  2. Step 2: Convert to fraction form
    45,651.50/99,607.75 = 99,607.75/x
  3. Step 3: Cross multiply
    45,651.50x = 99,607.75 × 99,607.75
  4. Step 4: Simplify right side
    45,651.50x = 9,921,703,860.06
  5. Step 5: Solve for x
    x = 9,921,703,860.06/45,651.50
  6. Step 6: Final answer
    x = 217,335.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.