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Finding the Third Proportional to 98,202.75 and 210,938.25

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Solution

The third proportional to 98,202.75 and 210,938.25 is: 453,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,202.75 : 210,938.25 = 210,938.25 : x
  2. Step 2: Convert to fraction form
    98,202.75/210,938.25 = 210,938.25/x
  3. Step 3: Cross multiply
    98,202.75x = 210,938.25 × 210,938.25
  4. Step 4: Simplify right side
    98,202.75x = 44,494,945,313.06
  5. Step 5: Solve for x
    x = 44,494,945,313.06/98,202.75
  6. Step 6: Final answer
    x = 453,092.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.