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Finding the Third Proportional to 45,420.75 and 98,493.75

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Solution

The third proportional to 45,420.75 and 98,493.75 is: 213,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420.75 : 98,493.75 = 98,493.75 : x
  2. Step 2: Convert to fraction form
    45,420.75/98,493.75 = 98,493.75/x
  3. Step 3: Cross multiply
    45,420.75x = 98,493.75 × 98,493.75
  4. Step 4: Simplify right side
    45,420.75x = 9,701,018,789.06
  5. Step 5: Solve for x
    x = 9,701,018,789.06/45,420.75
  6. Step 6: Final answer
    x = 213,581.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.