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Finding the Third Proportional to 98,460.56 and 214,741.76

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Solution

The third proportional to 98,460.56 and 214,741.76 is: 468,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460.56 : 214,741.76 = 214,741.76 : x
  2. Step 2: Convert to fraction form
    98,460.56/214,741.76 = 214,741.76/x
  3. Step 3: Cross multiply
    98,460.56x = 214,741.76 × 214,741.76
  4. Step 4: Simplify right side
    98,460.56x = 46,114,022,548.40
  5. Step 5: Solve for x
    x = 46,114,022,548.40/98,460.56
  6. Step 6: Final answer
    x = 468,350.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.