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Finding the Third Proportional to 45,193 and 97,372.50

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Solution

The third proportional to 45,193 and 97,372.50 is: 209,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,193 : 97,372.50 = 97,372.50 : x
  2. Step 2: Convert to fraction form
    45,193/97,372.50 = 97,372.50/x
  3. Step 3: Cross multiply
    45,193x = 97,372.50 × 97,372.50
  4. Step 4: Simplify right side
    45,193x = 9,481,403,756.25
  5. Step 5: Solve for x
    x = 9,481,403,756.25/45,193
  6. Step 6: Final answer
    x = 209,798.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.