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Finding the Third Proportional to 45,157.50 and 96,541.88

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Solution

The third proportional to 45,157.50 and 96,541.88 is: 206,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,157.50 : 96,541.88 = 96,541.88 : x
  2. Step 2: Convert to fraction form
    45,157.50/96,541.88 = 96,541.88/x
  3. Step 3: Cross multiply
    45,157.50x = 96,541.88 × 96,541.88
  4. Step 4: Simplify right side
    45,157.50x = 9,320,333,628.52
  5. Step 5: Solve for x
    x = 9,320,333,628.52/45,157.50
  6. Step 6: Final answer
    x = 206,396.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.