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Finding the Third Proportional to 98,256.75 and 210,533.25

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Solution

The third proportional to 98,256.75 and 210,533.25 is: 451,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,256.75 : 210,533.25 = 210,533.25 : x
  2. Step 2: Convert to fraction form
    98,256.75/210,533.25 = 210,533.25/x
  3. Step 3: Cross multiply
    98,256.75x = 210,533.25 × 210,533.25
  4. Step 4: Simplify right side
    98,256.75x = 44,324,249,355.56
  5. Step 5: Solve for x
    x = 44,324,249,355.56/98,256.75
  6. Step 6: Final answer
    x = 451,106.41

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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.