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Finding the Third Proportional to 47,692.13 and 102,880.13

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Solution

The third proportional to 47,692.13 and 102,880.13 is: 221,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.13 : 102,880.13 = 102,880.13 : x
  2. Step 2: Convert to fraction form
    47,692.13/102,880.13 = 102,880.13/x
  3. Step 3: Cross multiply
    47,692.13x = 102,880.13 × 102,880.13
  4. Step 4: Simplify right side
    47,692.13x = 10,584,320,120.02
  5. Step 5: Solve for x
    x = 10,584,320,120.02/47,692.13
  6. Step 6: Final answer
    x = 221,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.