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Finding the Third Proportional to 45,301.50 and 99,662.63

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Solution

The third proportional to 45,301.50 and 99,662.63 is: 219,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,301.50 : 99,662.63 = 99,662.63 : x
  2. Step 2: Convert to fraction form
    45,301.50/99,662.63 = 99,662.63/x
  3. Step 3: Cross multiply
    45,301.50x = 99,662.63 × 99,662.63
  4. Step 4: Simplify right side
    45,301.50x = 9,932,638,821.89
  5. Step 5: Solve for x
    x = 9,932,638,821.89/45,301.50
  6. Step 6: Final answer
    x = 219,256.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.