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Finding the Third Proportional to 44,968.50 and 97,140.75

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Solution

The third proportional to 44,968.50 and 97,140.75 is: 209,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968.50 : 97,140.75 = 97,140.75 : x
  2. Step 2: Convert to fraction form
    44,968.50/97,140.75 = 97,140.75/x
  3. Step 3: Cross multiply
    44,968.50x = 97,140.75 × 97,140.75
  4. Step 4: Simplify right side
    44,968.50x = 9,436,325,310.56
  5. Step 5: Solve for x
    x = 9,436,325,310.56/44,968.50
  6. Step 6: Final answer
    x = 209,843.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.