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Finding the Third Proportional to 96,642.28 and 210,439.69

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Solution

The third proportional to 96,642.28 and 210,439.69 is: 458,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642.28 : 210,439.69 = 210,439.69 : x
  2. Step 2: Convert to fraction form
    96,642.28/210,439.69 = 210,439.69/x
  3. Step 3: Cross multiply
    96,642.28x = 210,439.69 × 210,439.69
  4. Step 4: Simplify right side
    96,642.28x = 44,284,862,075.10
  5. Step 5: Solve for x
    x = 44,284,862,075.10/96,642.28
  6. Step 6: Final answer
    x = 458,234.86

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