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Finding the Third Proportional to 46,544.25 and 100,468.50

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Solution

The third proportional to 46,544.25 and 100,468.50 is: 216,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,544.25 : 100,468.50 = 100,468.50 : x
  2. Step 2: Convert to fraction form
    46,544.25/100,468.50 = 100,468.50/x
  3. Step 3: Cross multiply
    46,544.25x = 100,468.50 × 100,468.50
  4. Step 4: Simplify right side
    46,544.25x = 10,093,919,492.25
  5. Step 5: Solve for x
    x = 10,093,919,492.25/46,544.25
  6. Step 6: Final answer
    x = 216,867.16

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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.