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Finding the Third Proportional to 45,212.38 and 98,208.50

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Solution

The third proportional to 45,212.38 and 98,208.50 is: 213,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,212.38 : 98,208.50 = 98,208.50 : x
  2. Step 2: Convert to fraction form
    45,212.38/98,208.50 = 98,208.50/x
  3. Step 3: Cross multiply
    45,212.38x = 98,208.50 × 98,208.50
  4. Step 4: Simplify right side
    45,212.38x = 9,644,909,472.25
  5. Step 5: Solve for x
    x = 9,644,909,472.25/45,212.38
  6. Step 6: Final answer
    x = 213,324.55

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