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Finding the Third Proportional to 45,945.56 and 99,527.06

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Solution

The third proportional to 45,945.56 and 99,527.06 is: 215,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,945.56 : 99,527.06 = 99,527.06 : x
  2. Step 2: Convert to fraction form
    45,945.56/99,527.06 = 99,527.06/x
  3. Step 3: Cross multiply
    45,945.56x = 99,527.06 × 99,527.06
  4. Step 4: Simplify right side
    45,945.56x = 9,905,636,169.88
  5. Step 5: Solve for x
    x = 9,905,636,169.88/45,945.56
  6. Step 6: Final answer
    x = 215,595.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.