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Finding the Third Proportional to 46,766.25 and 103,376.25

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Solution

The third proportional to 46,766.25 and 103,376.25 is: 228,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,766.25 : 103,376.25 = 103,376.25 : x
  2. Step 2: Convert to fraction form
    46,766.25/103,376.25 = 103,376.25/x
  3. Step 3: Cross multiply
    46,766.25x = 103,376.25 × 103,376.25
  4. Step 4: Simplify right side
    46,766.25x = 10,686,649,064.06
  5. Step 5: Solve for x
    x = 10,686,649,064.06/46,766.25
  6. Step 6: Final answer
    x = 228,511.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.