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Finding the Third Proportional to 89,945.44 and 198,001.13

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Solution

The third proportional to 89,945.44 and 198,001.13 is: 435,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,945.44 : 198,001.13 = 198,001.13 : x
  2. Step 2: Convert to fraction form
    89,945.44/198,001.13 = 198,001.13/x
  3. Step 3: Cross multiply
    89,945.44x = 198,001.13 × 198,001.13
  4. Step 4: Simplify right side
    89,945.44x = 39,204,445,501.27
  5. Step 5: Solve for x
    x = 39,204,445,501.27/89,945.44
  6. Step 6: Final answer
    x = 435,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.