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Finding the Third Proportional to 45,673.59 and 99,647.02

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Solution

The third proportional to 45,673.59 and 99,647.02 is: 217,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.59 : 99,647.02 = 99,647.02 : x
  2. Step 2: Convert to fraction form
    45,673.59/99,647.02 = 99,647.02/x
  3. Step 3: Cross multiply
    45,673.59x = 99,647.02 × 99,647.02
  4. Step 4: Simplify right side
    45,673.59x = 9,929,527,722.97
  5. Step 5: Solve for x
    x = 9,929,527,722.97/45,673.59
  6. Step 6: Final answer
    x = 217,401.94

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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.