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Finding the Third Proportional to 44,573 and 96,830

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Solution

The third proportional to 44,573 and 96,830 is: 210,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,573 : 96,830 = 96,830 : x
  2. Step 2: Convert to fraction form
    44,573/96,830 = 96,830/x
  3. Step 3: Cross multiply
    44,573x = 96,830 × 96,830
  4. Step 4: Simplify right side
    44,573x = 9,376,048,900
  5. Step 5: Solve for x
    x = 9,376,048,900/44,573
  6. Step 6: Final answer
    x = 210,352.66

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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.