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Finding the Third Proportional to 45,673.73 and 99,647.30

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Solution

The third proportional to 45,673.73 and 99,647.30 is: 217,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.73 : 99,647.30 = 99,647.30 : x
  2. Step 2: Convert to fraction form
    45,673.73/99,647.30 = 99,647.30/x
  3. Step 3: Cross multiply
    45,673.73x = 99,647.30 × 99,647.30
  4. Step 4: Simplify right side
    45,673.73x = 9,929,583,774.49
  5. Step 5: Solve for x
    x = 9,929,583,774.49/45,673.73
  6. Step 6: Final answer
    x = 217,402.49

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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.