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Finding the Third Proportional to 44,378.50 and 96,533

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Solution

The third proportional to 44,378.50 and 96,533 is: 209,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,378.50 : 96,533 = 96,533 : x
  2. Step 2: Convert to fraction form
    44,378.50/96,533 = 96,533/x
  3. Step 3: Cross multiply
    44,378.50x = 96,533 × 96,533
  4. Step 4: Simplify right side
    44,378.50x = 9,318,620,089
  5. Step 5: Solve for x
    x = 9,318,620,089/44,378.50
  6. Step 6: Final answer
    x = 209,980.51

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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.