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Finding the Third Proportional to 98,436.38 and 210,858.75

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Solution

The third proportional to 98,436.38 and 210,858.75 is: 451,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,436.38 : 210,858.75 = 210,858.75 : x
  2. Step 2: Convert to fraction form
    98,436.38/210,858.75 = 210,858.75/x
  3. Step 3: Cross multiply
    98,436.38x = 210,858.75 × 210,858.75
  4. Step 4: Simplify right side
    98,436.38x = 44,461,412,451.56
  5. Step 5: Solve for x
    x = 44,461,412,451.56/98,436.38
  6. Step 6: Final answer
    x = 451,676.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.