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Finding the Third Proportional to 45,863.72 and 99,360.42

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Solution

The third proportional to 45,863.72 and 99,360.42 is: 215,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,863.72 : 99,360.42 = 99,360.42 : x
  2. Step 2: Convert to fraction form
    45,863.72/99,360.42 = 99,360.42/x
  3. Step 3: Cross multiply
    45,863.72x = 99,360.42 × 99,360.42
  4. Step 4: Simplify right side
    45,863.72x = 9,872,493,435.18
  5. Step 5: Solve for x
    x = 9,872,493,435.18/45,863.72
  6. Step 6: Final answer
    x = 215,257.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.