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Finding the Third Proportional to 46,762.31 and 96,850.69

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Solution

The third proportional to 46,762.31 and 96,850.69 is: 200,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,762.31 : 96,850.69 = 96,850.69 : x
  2. Step 2: Convert to fraction form
    46,762.31/96,850.69 = 96,850.69/x
  3. Step 3: Cross multiply
    46,762.31x = 96,850.69 × 96,850.69
  4. Step 4: Simplify right side
    46,762.31x = 9,380,055,669.22
  5. Step 5: Solve for x
    x = 9,380,055,669.22/46,762.31
  6. Step 6: Final answer
    x = 200,590.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.