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Finding the Third Proportional to 46,642.50 and 100,656

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Solution

The third proportional to 46,642.50 and 100,656 is: 217,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.50 : 100,656 = 100,656 : x
  2. Step 2: Convert to fraction form
    46,642.50/100,656 = 100,656/x
  3. Step 3: Cross multiply
    46,642.50x = 100,656 × 100,656
  4. Step 4: Simplify right side
    46,642.50x = 10,131,630,336
  5. Step 5: Solve for x
    x = 10,131,630,336/46,642.50
  6. Step 6: Final answer
    x = 217,218.85

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