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Finding the Third Proportional to 98,361.75 and 210,747.75

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Solution

The third proportional to 98,361.75 and 210,747.75 is: 451,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,361.75 : 210,747.75 = 210,747.75 : x
  2. Step 2: Convert to fraction form
    98,361.75/210,747.75 = 210,747.75/x
  3. Step 3: Cross multiply
    98,361.75x = 210,747.75 × 210,747.75
  4. Step 4: Simplify right side
    98,361.75x = 44,414,614,130.06
  5. Step 5: Solve for x
    x = 44,414,614,130.06/98,361.75
  6. Step 6: Final answer
    x = 451,543.55

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