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Finding the Third Proportional to 46,770.75 and 103,385.25

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Solution

The third proportional to 46,770.75 and 103,385.25 is: 228,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770.75 : 103,385.25 = 103,385.25 : x
  2. Step 2: Convert to fraction form
    46,770.75/103,385.25 = 103,385.25/x
  3. Step 3: Cross multiply
    46,770.75x = 103,385.25 × 103,385.25
  4. Step 4: Simplify right side
    46,770.75x = 10,688,509,917.56
  5. Step 5: Solve for x
    x = 10,688,509,917.56/46,770.75
  6. Step 6: Final answer
    x = 228,529.80

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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.