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Finding the Third Proportional to 45,663.75 and 98,583.75

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Solution

The third proportional to 45,663.75 and 98,583.75 is: 212,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,663.75 : 98,583.75 = 98,583.75 : x
  2. Step 2: Convert to fraction form
    45,663.75/98,583.75 = 98,583.75/x
  3. Step 3: Cross multiply
    45,663.75x = 98,583.75 × 98,583.75
  4. Step 4: Simplify right side
    45,663.75x = 9,718,755,764.06
  5. Step 5: Solve for x
    x = 9,718,755,764.06/45,663.75
  6. Step 6: Final answer
    x = 212,833.06

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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.