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Finding the Third Proportional to 48,638.81 and 106,504.03

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Solution

The third proportional to 48,638.81 and 106,504.03 is: 233,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.81 : 106,504.03 = 106,504.03 : x
  2. Step 2: Convert to fraction form
    48,638.81/106,504.03 = 106,504.03/x
  3. Step 3: Cross multiply
    48,638.81x = 106,504.03 × 106,504.03
  4. Step 4: Simplify right side
    48,638.81x = 11,343,108,672.50
  5. Step 5: Solve for x
    x = 11,343,108,672.50/48,638.81
  6. Step 6: Final answer
    x = 233,211.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.