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Finding the Third Proportional to 45,642.38 and 99,588.38

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Solution

The third proportional to 45,642.38 and 99,588.38 is: 217,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642.38 : 99,588.38 = 99,588.38 : x
  2. Step 2: Convert to fraction form
    45,642.38/99,588.38 = 99,588.38/x
  3. Step 3: Cross multiply
    45,642.38x = 99,588.38 × 99,588.38
  4. Step 4: Simplify right side
    45,642.38x = 9,917,844,435.14
  5. Step 5: Solve for x
    x = 9,917,844,435.14/45,642.38
  6. Step 6: Final answer
    x = 217,294.66

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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.