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Finding the Third Proportional to 48,996.77 and 103,881.08

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Solution

The third proportional to 48,996.77 and 103,881.08 is: 220,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,996.77 : 103,881.08 = 103,881.08 : x
  2. Step 2: Convert to fraction form
    48,996.77/103,881.08 = 103,881.08/x
  3. Step 3: Cross multiply
    48,996.77x = 103,881.08 × 103,881.08
  4. Step 4: Simplify right side
    48,996.77x = 10,791,277,986.63
  5. Step 5: Solve for x
    x = 10,791,277,986.63/48,996.77
  6. Step 6: Final answer
    x = 220,244.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.