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Finding the Third Proportional to 45,513.56 and 99,015.56

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Solution

The third proportional to 45,513.56 and 99,015.56 is: 215,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,513.56 : 99,015.56 = 99,015.56 : x
  2. Step 2: Convert to fraction form
    45,513.56/99,015.56 = 99,015.56/x
  3. Step 3: Cross multiply
    45,513.56x = 99,015.56 × 99,015.56
  4. Step 4: Simplify right side
    45,513.56x = 9,804,081,617.19
  5. Step 5: Solve for x
    x = 9,804,081,617.19/45,513.56
  6. Step 6: Final answer
    x = 215,410.11

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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.