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Finding the Third Proportional to 98,030.25 and 214,751.25

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Solution

The third proportional to 98,030.25 and 214,751.25 is: 470,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030.25 : 214,751.25 = 214,751.25 : x
  2. Step 2: Convert to fraction form
    98,030.25/214,751.25 = 214,751.25/x
  3. Step 3: Cross multiply
    98,030.25x = 214,751.25 × 214,751.25
  4. Step 4: Simplify right side
    98,030.25x = 46,118,099,376.56
  5. Step 5: Solve for x
    x = 46,118,099,376.56/98,030.25
  6. Step 6: Final answer
    x = 470,447.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.