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Finding the Third Proportional to 46,482.56 and 100,692.94

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Solution

The third proportional to 46,482.56 and 100,692.94 is: 218,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.56 : 100,692.94 = 100,692.94 : x
  2. Step 2: Convert to fraction form
    46,482.56/100,692.94 = 100,692.94/x
  3. Step 3: Cross multiply
    46,482.56x = 100,692.94 × 100,692.94
  4. Step 4: Simplify right side
    46,482.56x = 10,139,067,662.38
  5. Step 5: Solve for x
    x = 10,139,067,662.38/46,482.56
  6. Step 6: Final answer
    x = 218,126.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.