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Finding the Third Proportional to 46,200.38 and 106,069.50

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Solution

The third proportional to 46,200.38 and 106,069.50 is: 243,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.38 : 106,069.50 = 106,069.50 : x
  2. Step 2: Convert to fraction form
    46,200.38/106,069.50 = 106,069.50/x
  3. Step 3: Cross multiply
    46,200.38x = 106,069.50 × 106,069.50
  4. Step 4: Simplify right side
    46,200.38x = 11,250,738,830.25
  5. Step 5: Solve for x
    x = 11,250,738,830.25/46,200.38
  6. Step 6: Final answer
    x = 243,520.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.