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Finding the Third Proportional to 46,969.88 and 100,774.13

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Solution

The third proportional to 46,969.88 and 100,774.13 is: 216,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.88 : 100,774.13 = 100,774.13 : x
  2. Step 2: Convert to fraction form
    46,969.88/100,774.13 = 100,774.13/x
  3. Step 3: Cross multiply
    46,969.88x = 100,774.13 × 100,774.13
  4. Step 4: Simplify right side
    46,969.88x = 10,155,424,269.52
  5. Step 5: Solve for x
    x = 10,155,424,269.52/46,969.88
  6. Step 6: Final answer
    x = 216,211.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.