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Finding the Third Proportional to 45,169.52 and 97,896.73

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Solution

The third proportional to 45,169.52 and 97,896.73 is: 212,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,169.52 : 97,896.73 = 97,896.73 : x
  2. Step 2: Convert to fraction form
    45,169.52/97,896.73 = 97,896.73/x
  3. Step 3: Cross multiply
    45,169.52x = 97,896.73 × 97,896.73
  4. Step 4: Simplify right side
    45,169.52x = 9,583,769,071.65
  5. Step 5: Solve for x
    x = 9,583,769,071.65/45,169.52
  6. Step 6: Final answer
    x = 212,173.35

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Why These Related Problems?

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