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Finding the Third Proportional to 45,388.50 and 105,471

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Solution

The third proportional to 45,388.50 and 105,471 is: 245,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388.50 : 105,471 = 105,471 : x
  2. Step 2: Convert to fraction form
    45,388.50/105,471 = 105,471/x
  3. Step 3: Cross multiply
    45,388.50x = 105,471 × 105,471
  4. Step 4: Simplify right side
    45,388.50x = 11,124,131,841
  5. Step 5: Solve for x
    x = 11,124,131,841/45,388.50
  6. Step 6: Final answer
    x = 245,087.01

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.