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Finding the Third Proportional to 45,891.56 and 97,288.59

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Solution

The third proportional to 45,891.56 and 97,288.59 is: 206,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891.56 : 97,288.59 = 97,288.59 : x
  2. Step 2: Convert to fraction form
    45,891.56/97,288.59 = 97,288.59/x
  3. Step 3: Cross multiply
    45,891.56x = 97,288.59 × 97,288.59
  4. Step 4: Simplify right side
    45,891.56x = 9,465,070,473.85
  5. Step 5: Solve for x
    x = 9,465,070,473.85/45,891.56
  6. Step 6: Final answer
    x = 206,248.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.