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Finding the Third Proportional to 98,015.06 and 214,705.69

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Solution

The third proportional to 98,015.06 and 214,705.69 is: 470,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.06 : 214,705.69 = 214,705.69 : x
  2. Step 2: Convert to fraction form
    98,015.06/214,705.69 = 214,705.69/x
  3. Step 3: Cross multiply
    98,015.06x = 214,705.69 × 214,705.69
  4. Step 4: Simplify right side
    98,015.06x = 46,098,532,244.85
  5. Step 5: Solve for x
    x = 46,098,532,244.85/98,015.06
  6. Step 6: Final answer
    x = 470,320.90

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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.